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Finding the Third Proportional to 153,217 and 253,214

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Solution

The third proportional to 153,217 and 253,214 is: 418,473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,217 : 253,214 = 253,214 : x
  2. Step 2: Convert to fraction form
    153,217/253,214 = 253,214/x
  3. Step 3: Cross multiply
    153,217x = 253,214 × 253,214
  4. Step 4: Simplify right side
    153,217x = 64,117,329,796
  5. Step 5: Solve for x
    x = 64,117,329,796/153,217
  6. Step 6: Final answer
    x = 418,473.99

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.