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Finding the Third Proportional to 342,632 and 545,628

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Solution

The third proportional to 342,632 and 545,628 is: 868,891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,632 : 545,628 = 545,628 : x
  2. Step 2: Convert to fraction form
    342,632/545,628 = 545,628/x
  3. Step 3: Cross multiply
    342,632x = 545,628 × 545,628
  4. Step 4: Simplify right side
    342,632x = 297,709,914,384
  5. Step 5: Solve for x
    x = 297,709,914,384/342,632
  6. Step 6: Final answer
    x = 868,891.16

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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.