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Finding the Third Proportional to 359,046 and 557,529

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Solution

The third proportional to 359,046 and 557,529 is: 865,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,046 : 557,529 = 557,529 : x
  2. Step 2: Convert to fraction form
    359,046/557,529 = 557,529/x
  3. Step 3: Cross multiply
    359,046x = 557,529 × 557,529
  4. Step 4: Simplify right side
    359,046x = 310,838,585,841
  5. Step 5: Solve for x
    x = 310,838,585,841/359,046
  6. Step 6: Final answer
    x = 865,734.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.