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Finding the Third Proportional to 281,017.69 and 428,565.94

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Solution

The third proportional to 281,017.69 and 428,565.94 is: 653,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,017.69 : 428,565.94 = 428,565.94 : x
  2. Step 2: Convert to fraction form
    281,017.69/428,565.94 = 428,565.94/x
  3. Step 3: Cross multiply
    281,017.69x = 428,565.94 × 428,565.94
  4. Step 4: Simplify right side
    281,017.69x = 183,668,762,785.25
  5. Step 5: Solve for x
    x = 183,668,762,785.25/281,017.69
  6. Step 6: Final answer
    x = 653,584.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.