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Finding the Third Proportional to 687,080 and 1,465,453

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Solution

The third proportional to 687,080 and 1,465,453 is: 3,125,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,080 : 1,465,453 = 1,465,453 : x
  2. Step 2: Convert to fraction form
    687,080/1,465,453 = 1,465,453/x
  3. Step 3: Cross multiply
    687,080x = 1,465,453 × 1,465,453
  4. Step 4: Simplify right side
    687,080x = 2,147,552,495,209
  5. Step 5: Solve for x
    x = 2,147,552,495,209/687,080
  6. Step 6: Final answer
    x = 3,125,622.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.