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Finding the Third Proportional to 542,972 and 851,070

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Solution

The third proportional to 542,972 and 851,070 is: 1,333,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,972 : 851,070 = 851,070 : x
  2. Step 2: Convert to fraction form
    542,972/851,070 = 851,070/x
  3. Step 3: Cross multiply
    542,972x = 851,070 × 851,070
  4. Step 4: Simplify right side
    542,972x = 724,320,144,900
  5. Step 5: Solve for x
    x = 724,320,144,900/542,972
  6. Step 6: Final answer
    x = 1,333,991.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.