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Finding the Third Proportional to 581,400 and 1,251,840

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Solution

The third proportional to 581,400 and 1,251,840 is: 2,695,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,400 : 1,251,840 = 1,251,840 : x
  2. Step 2: Convert to fraction form
    581,400/1,251,840 = 1,251,840/x
  3. Step 3: Cross multiply
    581,400x = 1,251,840 × 1,251,840
  4. Step 4: Simplify right side
    581,400x = 1,567,103,385,600
  5. Step 5: Solve for x
    x = 1,567,103,385,600/581,400
  6. Step 6: Final answer
    x = 2,695,396.26

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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.