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Finding the Third Proportional to 281,324 and 663,685

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Solution

The third proportional to 281,324 and 663,685 is: 1,565,731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,324 : 663,685 = 663,685 : x
  2. Step 2: Convert to fraction form
    281,324/663,685 = 663,685/x
  3. Step 3: Cross multiply
    281,324x = 663,685 × 663,685
  4. Step 4: Simplify right side
    281,324x = 440,477,779,225
  5. Step 5: Solve for x
    x = 440,477,779,225/281,324
  6. Step 6: Final answer
    x = 1,565,731.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.