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Finding the Third Proportional to 247,520 and 386,064

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Solution

The third proportional to 247,520 and 386,064 is: 602,155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,520 : 386,064 = 386,064 : x
  2. Step 2: Convert to fraction form
    247,520/386,064 = 386,064/x
  3. Step 3: Cross multiply
    247,520x = 386,064 × 386,064
  4. Step 4: Simplify right side
    247,520x = 149,045,412,096
  5. Step 5: Solve for x
    x = 149,045,412,096/247,520
  6. Step 6: Final answer
    x = 602,155.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.