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Finding the Third Proportional to 521,570 and 744,445

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Solution

The third proportional to 521,570 and 744,445 is: 1,062,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,570 : 744,445 = 744,445 : x
  2. Step 2: Convert to fraction form
    521,570/744,445 = 744,445/x
  3. Step 3: Cross multiply
    521,570x = 744,445 × 744,445
  4. Step 4: Simplify right side
    521,570x = 554,198,358,025
  5. Step 5: Solve for x
    x = 554,198,358,025/521,570
  6. Step 6: Final answer
    x = 1,062,557.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.