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Finding the Third Proportional to 242,562 and 361,470

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Solution

The third proportional to 242,562 and 361,470 is: 538,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,562 : 361,470 = 361,470 : x
  2. Step 2: Convert to fraction form
    242,562/361,470 = 361,470/x
  3. Step 3: Cross multiply
    242,562x = 361,470 × 361,470
  4. Step 4: Simplify right side
    242,562x = 130,660,560,900
  5. Step 5: Solve for x
    x = 130,660,560,900/242,562
  6. Step 6: Final answer
    x = 538,668.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.