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Finding the Third Proportional to 442,747.69 and 663,989.06

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Solution

The third proportional to 442,747.69 and 663,989.06 is: 995,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,747.69 : 663,989.06 = 663,989.06 : x
  2. Step 2: Convert to fraction form
    442,747.69/663,989.06 = 663,989.06/x
  3. Step 3: Cross multiply
    442,747.69x = 663,989.06 × 663,989.06
  4. Step 4: Simplify right side
    442,747.69x = 440,881,475,119.63
  5. Step 5: Solve for x
    x = 440,881,475,119.63/442,747.69
  6. Step 6: Final answer
    x = 995,784.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.