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Finding the Third Proportional to 143,480 and 292,800

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Solution

The third proportional to 143,480 and 292,800 is: 597,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,480 : 292,800 = 292,800 : x
  2. Step 2: Convert to fraction form
    143,480/292,800 = 292,800/x
  3. Step 3: Cross multiply
    143,480x = 292,800 × 292,800
  4. Step 4: Simplify right side
    143,480x = 85,731,840,000
  5. Step 5: Solve for x
    x = 85,731,840,000/143,480
  6. Step 6: Final answer
    x = 597,517.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.