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Finding the Third Proportional to 78,130 and 124,221

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Solution

The third proportional to 78,130 and 124,221 is: 197,502.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,130 : 124,221 = 124,221 : x
  2. Step 2: Convert to fraction form
    78,130/124,221 = 124,221/x
  3. Step 3: Cross multiply
    78,130x = 124,221 × 124,221
  4. Step 4: Simplify right side
    78,130x = 15,430,856,841
  5. Step 5: Solve for x
    x = 15,430,856,841/78,130
  6. Step 6: Final answer
    x = 197,502.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.