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Finding the Third Proportional to 113,461.31 and 154,167.75

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Solution

The third proportional to 113,461.31 and 154,167.75 is: 209,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,461.31 : 154,167.75 = 154,167.75 : x
  2. Step 2: Convert to fraction form
    113,461.31/154,167.75 = 154,167.75/x
  3. Step 3: Cross multiply
    113,461.31x = 154,167.75 × 154,167.75
  4. Step 4: Simplify right side
    113,461.31x = 23,767,695,140.06
  5. Step 5: Solve for x
    x = 23,767,695,140.06/113,461.31
  6. Step 6: Final answer
    x = 209,478.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.