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Finding the Third Proportional to 312,712 and 484,840

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Solution

The third proportional to 312,712 and 484,840 is: 751,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,712 : 484,840 = 484,840 : x
  2. Step 2: Convert to fraction form
    312,712/484,840 = 484,840/x
  3. Step 3: Cross multiply
    312,712x = 484,840 × 484,840
  4. Step 4: Simplify right side
    312,712x = 235,069,825,600
  5. Step 5: Solve for x
    x = 235,069,825,600/312,712
  6. Step 6: Final answer
    x = 751,713.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.