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Finding the Third Proportional to 221,957.72 and 485,430.47

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Solution

The third proportional to 221,957.72 and 485,430.47 is: 1,061,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,957.72 : 485,430.47 = 485,430.47 : x
  2. Step 2: Convert to fraction form
    221,957.72/485,430.47 = 485,430.47/x
  3. Step 3: Cross multiply
    221,957.72x = 485,430.47 × 485,430.47
  4. Step 4: Simplify right side
    221,957.72x = 235,642,739,990.85
  5. Step 5: Solve for x
    x = 235,642,739,990.85/221,957.72
  6. Step 6: Final answer
    x = 1,061,655.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.