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Finding the Third Proportional to 342,460 and 545,402

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Solution

The third proportional to 342,460 and 545,402 is: 868,607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,460 : 545,402 = 545,402 : x
  2. Step 2: Convert to fraction form
    342,460/545,402 = 545,402/x
  3. Step 3: Cross multiply
    342,460x = 545,402 × 545,402
  4. Step 4: Simplify right side
    342,460x = 297,463,341,604
  5. Step 5: Solve for x
    x = 297,463,341,604/342,460
  6. Step 6: Final answer
    x = 868,607.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.