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Finding the Third Proportional to 632,712 and 1,361,440.50

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Solution

The third proportional to 632,712 and 1,361,440.50 is: 2,929,484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,712 : 1,361,440.50 = 1,361,440.50 : x
  2. Step 2: Convert to fraction form
    632,712/1,361,440.50 = 1,361,440.50/x
  3. Step 3: Cross multiply
    632,712x = 1,361,440.50 × 1,361,440.50
  4. Step 4: Simplify right side
    632,712x = 1,853,520,235,040.25
  5. Step 5: Solve for x
    x = 1,853,520,235,040.25/632,712
  6. Step 6: Final answer
    x = 2,929,484.88

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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.