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Finding the Third Proportional to 88,431.75 and 137,036.81

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Solution

The third proportional to 88,431.75 and 137,036.81 is: 212,356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,431.75 : 137,036.81 = 137,036.81 : x
  2. Step 2: Convert to fraction form
    88,431.75/137,036.81 = 137,036.81/x
  3. Step 3: Cross multiply
    88,431.75x = 137,036.81 × 137,036.81
  4. Step 4: Simplify right side
    88,431.75x = 18,779,087,980.16
  5. Step 5: Solve for x
    x = 18,779,087,980.16/88,431.75
  6. Step 6: Final answer
    x = 212,356.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.