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Finding the Third Proportional to 145,572 and 220,986

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Solution

The third proportional to 145,572 and 220,986 is: 335,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,572 : 220,986 = 220,986 : x
  2. Step 2: Convert to fraction form
    145,572/220,986 = 220,986/x
  3. Step 3: Cross multiply
    145,572x = 220,986 × 220,986
  4. Step 4: Simplify right side
    145,572x = 48,834,812,196
  5. Step 5: Solve for x
    x = 48,834,812,196/145,572
  6. Step 6: Final answer
    x = 335,468.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.