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Finding the Third Proportional to 285,984 and 435,124

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Solution

The third proportional to 285,984 and 435,124 is: 662,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,984 : 435,124 = 435,124 : x
  2. Step 2: Convert to fraction form
    285,984/435,124 = 435,124/x
  3. Step 3: Cross multiply
    285,984x = 435,124 × 435,124
  4. Step 4: Simplify right side
    285,984x = 189,332,895,376
  5. Step 5: Solve for x
    x = 189,332,895,376/285,984
  6. Step 6: Final answer
    x = 662,040.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.