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Finding the Third Proportional to 243,417 and 355,707

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Solution

The third proportional to 243,417 and 355,707 is: 519,797.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,417 : 355,707 = 355,707 : x
  2. Step 2: Convert to fraction form
    243,417/355,707 = 355,707/x
  3. Step 3: Cross multiply
    243,417x = 355,707 × 355,707
  4. Step 4: Simplify right side
    243,417x = 126,527,469,849
  5. Step 5: Solve for x
    x = 126,527,469,849/243,417
  6. Step 6: Final answer
    x = 519,797.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.