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Finding the Third Proportional to 103,047.19 and 138,775.78

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Solution

The third proportional to 103,047.19 and 138,775.78 is: 186,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,047.19 : 138,775.78 = 138,775.78 : x
  2. Step 2: Convert to fraction form
    103,047.19/138,775.78 = 138,775.78/x
  3. Step 3: Cross multiply
    103,047.19x = 138,775.78 × 138,775.78
  4. Step 4: Simplify right side
    103,047.19x = 19,258,717,461.55
  5. Step 5: Solve for x
    x = 19,258,717,461.55/103,047.19
  6. Step 6: Final answer
    x = 186,892.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.