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Finding the Third Proportional to 145,624 and 219,460

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Solution

The third proportional to 145,624 and 219,460 is: 330,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,624 : 219,460 = 219,460 : x
  2. Step 2: Convert to fraction form
    145,624/219,460 = 219,460/x
  3. Step 3: Cross multiply
    145,624x = 219,460 × 219,460
  4. Step 4: Simplify right side
    145,624x = 48,162,691,600
  5. Step 5: Solve for x
    x = 48,162,691,600/145,624
  6. Step 6: Final answer
    x = 330,733.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.