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Finding the Third Proportional to 78,658 and 124,610

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Solution

The third proportional to 78,658 and 124,610 is: 197,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,658 : 124,610 = 124,610 : x
  2. Step 2: Convert to fraction form
    78,658/124,610 = 124,610/x
  3. Step 3: Cross multiply
    78,658x = 124,610 × 124,610
  4. Step 4: Simplify right side
    78,658x = 15,527,652,100
  5. Step 5: Solve for x
    x = 15,527,652,100/78,658
  6. Step 6: Final answer
    x = 197,407.16

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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.