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Finding the Third Proportional to 221,748 and 341,309

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Solution

The third proportional to 221,748 and 341,309 is: 525,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,748 : 341,309 = 341,309 : x
  2. Step 2: Convert to fraction form
    221,748/341,309 = 341,309/x
  3. Step 3: Cross multiply
    221,748x = 341,309 × 341,309
  4. Step 4: Simplify right side
    221,748x = 116,491,833,481
  5. Step 5: Solve for x
    x = 116,491,833,481/221,748
  6. Step 6: Final answer
    x = 525,334.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.