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Finding the Third Proportional to 617,778 and 1,335,487.50

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Solution

The third proportional to 617,778 and 1,335,487.50 is: 2,887,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,778 : 1,335,487.50 = 1,335,487.50 : x
  2. Step 2: Convert to fraction form
    617,778/1,335,487.50 = 1,335,487.50/x
  3. Step 3: Cross multiply
    617,778x = 1,335,487.50 × 1,335,487.50
  4. Step 4: Simplify right side
    617,778x = 1,783,526,862,656.25
  5. Step 5: Solve for x
    x = 1,783,526,862,656.25/617,778
  6. Step 6: Final answer
    x = 2,887,002.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.