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Finding the Third Proportional to 572,175 and 840,745

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Solution

The third proportional to 572,175 and 840,745 is: 1,235,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,175 : 840,745 = 840,745 : x
  2. Step 2: Convert to fraction form
    572,175/840,745 = 840,745/x
  3. Step 3: Cross multiply
    572,175x = 840,745 × 840,745
  4. Step 4: Simplify right side
    572,175x = 706,852,155,025
  5. Step 5: Solve for x
    x = 706,852,155,025/572,175
  6. Step 6: Final answer
    x = 1,235,377.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.