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Finding the Third Proportional to 142,707 and 304,415

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Solution

The third proportional to 142,707 and 304,415 is: 649,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,707 : 304,415 = 304,415 : x
  2. Step 2: Convert to fraction form
    142,707/304,415 = 304,415/x
  3. Step 3: Cross multiply
    142,707x = 304,415 × 304,415
  4. Step 4: Simplify right side
    142,707x = 92,668,492,225
  5. Step 5: Solve for x
    x = 92,668,492,225/142,707
  6. Step 6: Final answer
    x = 649,361.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.