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Finding the Third Proportional to 431,605 and 653,402

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Solution

The third proportional to 431,605 and 653,402 is: 989,178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,605 : 653,402 = 653,402 : x
  2. Step 2: Convert to fraction form
    431,605/653,402 = 653,402/x
  3. Step 3: Cross multiply
    431,605x = 653,402 × 653,402
  4. Step 4: Simplify right side
    431,605x = 426,934,173,604
  5. Step 5: Solve for x
    x = 426,934,173,604/431,605
  6. Step 6: Final answer
    x = 989,178.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.