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Finding the Third Proportional to 528,213 and 752,628

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Solution

The third proportional to 528,213 and 752,628 is: 1,072,387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,213 : 752,628 = 752,628 : x
  2. Step 2: Convert to fraction form
    528,213/752,628 = 752,628/x
  3. Step 3: Cross multiply
    528,213x = 752,628 × 752,628
  4. Step 4: Simplify right side
    528,213x = 566,448,906,384
  5. Step 5: Solve for x
    x = 566,448,906,384/528,213
  6. Step 6: Final answer
    x = 1,072,387.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.