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Finding the Third Proportional to 387,341 and 528,070

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Solution

The third proportional to 387,341 and 528,070 is: 719,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,341 : 528,070 = 528,070 : x
  2. Step 2: Convert to fraction form
    387,341/528,070 = 528,070/x
  3. Step 3: Cross multiply
    387,341x = 528,070 × 528,070
  4. Step 4: Simplify right side
    387,341x = 278,857,924,900
  5. Step 5: Solve for x
    x = 278,857,924,900/387,341
  6. Step 6: Final answer
    x = 719,928.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.