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Finding the Third Proportional to 201,497,195,160 and 440,952,218,928

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Solution

The third proportional to 201,497,195,160 and 440,952,218,928 is: 964,970,550,697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,497,195,160 : 440,952,218,928 = 440,952,218,928 : x
  2. Step 2: Convert to fraction form
    201,497,195,160/440,952,218,928 = 440,952,218,928/x
  3. Step 3: Cross multiply
    201,497,195,160x = 440,952,218,928 × 440,952,218,928
  4. Step 4: Simplify right side
    201,497,195,160x = 194,438,859,377,526,846,783,488
  5. Step 5: Solve for x
    x = 194,438,859,377,526,846,783,488/201,497,195,160
  6. Step 6: Final answer
    x = 964,970,550,697.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.