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Finding the Third Proportional to 528,293 and 802,542

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Solution

The third proportional to 528,293 and 802,542 is: 1,219,159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,293 : 802,542 = 802,542 : x
  2. Step 2: Convert to fraction form
    528,293/802,542 = 802,542/x
  3. Step 3: Cross multiply
    528,293x = 802,542 × 802,542
  4. Step 4: Simplify right side
    528,293x = 644,073,661,764
  5. Step 5: Solve for x
    x = 644,073,661,764/528,293
  6. Step 6: Final answer
    x = 1,219,159.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.