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Finding the Third Proportional to 640,721.50 and 928,032

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Solution

The third proportional to 640,721.50 and 928,032 is: 1,344,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,721.50 : 928,032 = 928,032 : x
  2. Step 2: Convert to fraction form
    640,721.50/928,032 = 928,032/x
  3. Step 3: Cross multiply
    640,721.50x = 928,032 × 928,032
  4. Step 4: Simplify right side
    640,721.50x = 861,243,393,024
  5. Step 5: Solve for x
    x = 861,243,393,024/640,721.50
  6. Step 6: Final answer
    x = 1,344,177.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.