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Finding the Third Proportional to 142,458 and 220,572

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Solution

The third proportional to 142,458 and 220,572 is: 341,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,458 : 220,572 = 220,572 : x
  2. Step 2: Convert to fraction form
    142,458/220,572 = 220,572/x
  3. Step 3: Cross multiply
    142,458x = 220,572 × 220,572
  4. Step 4: Simplify right side
    142,458x = 48,652,007,184
  5. Step 5: Solve for x
    x = 48,652,007,184/142,458
  6. Step 6: Final answer
    x = 341,518.25

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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.