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Finding the Third Proportional to 89,030.25 and 137,670.19

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Solution

The third proportional to 89,030.25 and 137,670.19 is: 212,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,030.25 : 137,670.19 = 137,670.19 : x
  2. Step 2: Convert to fraction form
    89,030.25/137,670.19 = 137,670.19/x
  3. Step 3: Cross multiply
    89,030.25x = 137,670.19 × 137,670.19
  4. Step 4: Simplify right side
    89,030.25x = 18,953,080,526.29
  5. Step 5: Solve for x
    x = 18,953,080,526.29/89,030.25
  6. Step 6: Final answer
    x = 212,883.60

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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.