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Finding the Third Proportional to 642,948.75 and 881,658.56

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Solution

The third proportional to 642,948.75 and 881,658.56 is: 1,208,995.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,948.75 : 881,658.56 = 881,658.56 : x
  2. Step 2: Convert to fraction form
    642,948.75/881,658.56 = 881,658.56/x
  3. Step 3: Cross multiply
    642,948.75x = 881,658.56 × 881,658.56
  4. Step 4: Simplify right side
    642,948.75x = 777,321,820,829.57
  5. Step 5: Solve for x
    x = 777,321,820,829.57/642,948.75
  6. Step 6: Final answer
    x = 1,208,995.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.