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Finding the Third Proportional to 542,709 and 797,802.75

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Solution

The third proportional to 542,709 and 797,802.75 is: 1,172,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,709 : 797,802.75 = 797,802.75 : x
  2. Step 2: Convert to fraction form
    542,709/797,802.75 = 797,802.75/x
  3. Step 3: Cross multiply
    542,709x = 797,802.75 × 797,802.75
  4. Step 4: Simplify right side
    542,709x = 636,489,227,907.56
  5. Step 5: Solve for x
    x = 636,489,227,907.56/542,709
  6. Step 6: Final answer
    x = 1,172,800.21

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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.