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Finding the Third Proportional to 61,128 and 87,210

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Solution

The third proportional to 61,128 and 87,210 is: 124,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,128 : 87,210 = 87,210 : x
  2. Step 2: Convert to fraction form
    61,128/87,210 = 87,210/x
  3. Step 3: Cross multiply
    61,128x = 87,210 × 87,210
  4. Step 4: Simplify right side
    61,128x = 7,605,584,100
  5. Step 5: Solve for x
    x = 7,605,584,100/61,128
  6. Step 6: Final answer
    x = 124,420.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.