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Finding the Third Proportional to 157,040 and 348,909

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Solution

The third proportional to 157,040 and 348,909 is: 775,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,040 : 348,909 = 348,909 : x
  2. Step 2: Convert to fraction form
    157,040/348,909 = 348,909/x
  3. Step 3: Cross multiply
    157,040x = 348,909 × 348,909
  4. Step 4: Simplify right side
    157,040x = 121,737,490,281
  5. Step 5: Solve for x
    x = 121,737,490,281/157,040
  6. Step 6: Final answer
    x = 775,200.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.