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Finding the Third Proportional to 260,604 and 412,987

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Solution

The third proportional to 260,604 and 412,987 is: 654,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,604 : 412,987 = 412,987 : x
  2. Step 2: Convert to fraction form
    260,604/412,987 = 412,987/x
  3. Step 3: Cross multiply
    260,604x = 412,987 × 412,987
  4. Step 4: Simplify right side
    260,604x = 170,558,262,169
  5. Step 5: Solve for x
    x = 170,558,262,169/260,604
  6. Step 6: Final answer
    x = 654,472.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.