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Finding the Third Proportional to 243,352 and 356,620

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Solution

The third proportional to 243,352 and 356,620 is: 522,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,352 : 356,620 = 356,620 : x
  2. Step 2: Convert to fraction form
    243,352/356,620 = 356,620/x
  3. Step 3: Cross multiply
    243,352x = 356,620 × 356,620
  4. Step 4: Simplify right side
    243,352x = 127,177,824,400
  5. Step 5: Solve for x
    x = 127,177,824,400/243,352
  6. Step 6: Final answer
    x = 522,608.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.