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Finding the Third Proportional to 301,897.13 and 639,727.88

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Solution

The third proportional to 301,897.13 and 639,727.88 is: 1,355,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,897.13 : 639,727.88 = 639,727.88 : x
  2. Step 2: Convert to fraction form
    301,897.13/639,727.88 = 639,727.88/x
  3. Step 3: Cross multiply
    301,897.13x = 639,727.88 × 639,727.88
  4. Step 4: Simplify right side
    301,897.13x = 409,251,754,052.02
  5. Step 5: Solve for x
    x = 409,251,754,052.02/301,897.13
  6. Step 6: Final answer
    x = 1,355,600.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.