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Finding the Third Proportional to 142,604 and 220,710

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Solution

The third proportional to 142,604 and 220,710 is: 341,595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,604 : 220,710 = 220,710 : x
  2. Step 2: Convert to fraction form
    142,604/220,710 = 220,710/x
  3. Step 3: Cross multiply
    142,604x = 220,710 × 220,710
  4. Step 4: Simplify right side
    142,604x = 48,712,904,100
  5. Step 5: Solve for x
    x = 48,712,904,100/142,604
  6. Step 6: Final answer
    x = 341,595.64

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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.