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Finding the Third Proportional to 639,732 and 1,378,609.50

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Solution

The third proportional to 639,732 and 1,378,609.50 is: 2,970,875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,732 : 1,378,609.50 = 1,378,609.50 : x
  2. Step 2: Convert to fraction form
    639,732/1,378,609.50 = 1,378,609.50/x
  3. Step 3: Cross multiply
    639,732x = 1,378,609.50 × 1,378,609.50
  4. Step 4: Simplify right side
    639,732x = 1,900,564,153,490.25
  5. Step 5: Solve for x
    x = 1,900,564,153,490.25/639,732
  6. Step 6: Final answer
    x = 2,970,875.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.