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Finding the Third Proportional to 200,094,600 and 433,585,702.50

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Solution

The third proportional to 200,094,600 and 433,585,702.50 is: 939,538,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,094,600 : 433,585,702.50 = 433,585,702.50 : x
  2. Step 2: Convert to fraction form
    200,094,600/433,585,702.50 = 433,585,702.50/x
  3. Step 3: Cross multiply
    200,094,600x = 433,585,702.50 × 433,585,702.50
  4. Step 4: Simplify right side
    200,094,600x = 187,996,561,412,418,496
  5. Step 5: Solve for x
    x = 187,996,561,412,418,496/200,094,600
  6. Step 6: Final answer
    x = 939,538,405.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.