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Finding the Third Proportional to 7,841,820 and 16,986,409

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Solution

The third proportional to 7,841,820 and 16,986,409 is: 36,794,786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841,820 : 16,986,409 = 16,986,409 : x
  2. Step 2: Convert to fraction form
    7,841,820/16,986,409 = 16,986,409/x
  3. Step 3: Cross multiply
    7,841,820x = 16,986,409 × 16,986,409
  4. Step 4: Simplify right side
    7,841,820x = 288,538,090,715,281
  5. Step 5: Solve for x
    x = 288,538,090,715,281/7,841,820
  6. Step 6: Final answer
    x = 36,794,786.25

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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.