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Finding the Third Proportional to 639,840 and 1,372,776

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Solution

The third proportional to 639,840 and 1,372,776 is: 2,945,289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,840 : 1,372,776 = 1,372,776 : x
  2. Step 2: Convert to fraction form
    639,840/1,372,776 = 1,372,776/x
  3. Step 3: Cross multiply
    639,840x = 1,372,776 × 1,372,776
  4. Step 4: Simplify right side
    639,840x = 1,884,513,946,176
  5. Step 5: Solve for x
    x = 1,884,513,946,176/639,840
  6. Step 6: Final answer
    x = 2,945,289.36

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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.