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Finding the Third Proportional to 525,442 and 815,272

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Solution

The third proportional to 525,442 and 815,272 is: 1,264,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,442 : 815,272 = 815,272 : x
  2. Step 2: Convert to fraction form
    525,442/815,272 = 815,272/x
  3. Step 3: Cross multiply
    525,442x = 815,272 × 815,272
  4. Step 4: Simplify right side
    525,442x = 664,668,433,984
  5. Step 5: Solve for x
    x = 664,668,433,984/525,442
  6. Step 6: Final answer
    x = 1,264,970.13

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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.