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Finding the Third Proportional to 147,905 and 323,419

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Solution

The third proportional to 147,905 and 323,419 is: 707,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,905 : 323,419 = 323,419 : x
  2. Step 2: Convert to fraction form
    147,905/323,419 = 323,419/x
  3. Step 3: Cross multiply
    147,905x = 323,419 × 323,419
  4. Step 4: Simplify right side
    147,905x = 104,599,849,561
  5. Step 5: Solve for x
    x = 104,599,849,561/147,905
  6. Step 6: Final answer
    x = 707,209.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.