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Finding the Third Proportional to 51,712 and 81,256.50

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Solution

The third proportional to 51,712 and 81,256.50 is: 127,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,712 : 81,256.50 = 81,256.50 : x
  2. Step 2: Convert to fraction form
    51,712/81,256.50 = 81,256.50/x
  3. Step 3: Cross multiply
    51,712x = 81,256.50 × 81,256.50
  4. Step 4: Simplify right side
    51,712x = 6,602,618,792.25
  5. Step 5: Solve for x
    x = 6,602,618,792.25/51,712
  6. Step 6: Final answer
    x = 127,680.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.