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Finding the Third Proportional to 142,080 and 220,752

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Solution

The third proportional to 142,080 and 220,752 is: 342,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,080 : 220,752 = 220,752 : x
  2. Step 2: Convert to fraction form
    142,080/220,752 = 220,752/x
  3. Step 3: Cross multiply
    142,080x = 220,752 × 220,752
  4. Step 4: Simplify right side
    142,080x = 48,731,445,504
  5. Step 5: Solve for x
    x = 48,731,445,504/142,080
  6. Step 6: Final answer
    x = 342,985.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.