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Finding the Third Proportional to 412,710.75 and 542,712.38

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Solution

The third proportional to 412,710.75 and 542,712.38 is: 713,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,710.75 : 542,712.38 = 542,712.38 : x
  2. Step 2: Convert to fraction form
    412,710.75/542,712.38 = 542,712.38/x
  3. Step 3: Cross multiply
    412,710.75x = 542,712.38 × 542,712.38
  4. Step 4: Simplify right side
    412,710.75x = 294,536,721,978.14
  5. Step 5: Solve for x
    x = 294,536,721,978.14/412,710.75
  6. Step 6: Final answer
    x = 713,663.80

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.