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Finding the Third Proportional to 105,315 and 227,487

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Solution

The third proportional to 105,315 and 227,487 is: 491,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,315 : 227,487 = 227,487 : x
  2. Step 2: Convert to fraction form
    105,315/227,487 = 227,487/x
  3. Step 3: Cross multiply
    105,315x = 227,487 × 227,487
  4. Step 4: Simplify right side
    105,315x = 51,750,335,169
  5. Step 5: Solve for x
    x = 51,750,335,169/105,315
  6. Step 6: Final answer
    x = 491,386.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.