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Finding the Third Proportional to 281,449.69 and 414,730.13

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Solution

The third proportional to 281,449.69 and 414,730.13 is: 611,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,449.69 : 414,730.13 = 414,730.13 : x
  2. Step 2: Convert to fraction form
    281,449.69/414,730.13 = 414,730.13/x
  3. Step 3: Cross multiply
    281,449.69x = 414,730.13 × 414,730.13
  4. Step 4: Simplify right side
    281,449.69x = 172,001,076,582.52
  5. Step 5: Solve for x
    x = 172,001,076,582.52/281,449.69
  6. Step 6: Final answer
    x = 611,125.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.