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Finding the Third Proportional to 454,821.75 and 711,352.13

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Solution

The third proportional to 454,821.75 and 711,352.13 is: 1,112,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,821.75 : 711,352.13 = 711,352.13 : x
  2. Step 2: Convert to fraction form
    454,821.75/711,352.13 = 711,352.13/x
  3. Step 3: Cross multiply
    454,821.75x = 711,352.13 × 711,352.13
  4. Step 4: Simplify right side
    454,821.75x = 506,021,845,742.02
  5. Step 5: Solve for x
    x = 506,021,845,742.02/454,821.75
  6. Step 6: Final answer
    x = 1,112,571.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.