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Finding the Third Proportional to 145,613 and 219,446

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Solution

The third proportional to 145,613 and 219,446 is: 330,715.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,613 : 219,446 = 219,446 : x
  2. Step 2: Convert to fraction form
    145,613/219,446 = 219,446/x
  3. Step 3: Cross multiply
    145,613x = 219,446 × 219,446
  4. Step 4: Simplify right side
    145,613x = 48,156,546,916
  5. Step 5: Solve for x
    x = 48,156,546,916/145,613
  6. Step 6: Final answer
    x = 330,715.99

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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.