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Finding the Third Proportional to 113,344.31 and 153,386.16

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Solution

The third proportional to 113,344.31 and 153,386.16 is: 207,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,344.31 : 153,386.16 = 153,386.16 : x
  2. Step 2: Convert to fraction form
    113,344.31/153,386.16 = 153,386.16/x
  3. Step 3: Cross multiply
    113,344.31x = 153,386.16 × 153,386.16
  4. Step 4: Simplify right side
    113,344.31x = 23,527,312,929.15
  5. Step 5: Solve for x
    x = 23,527,312,929.15/113,344.31
  6. Step 6: Final answer
    x = 207,573.83

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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.