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Finding the Third Proportional to 138,158.16 and 210,926.53

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Solution

The third proportional to 138,158.16 and 210,926.53 is: 322,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,158.16 : 210,926.53 = 210,926.53 : x
  2. Step 2: Convert to fraction form
    138,158.16/210,926.53 = 210,926.53/x
  3. Step 3: Cross multiply
    138,158.16x = 210,926.53 × 210,926.53
  4. Step 4: Simplify right side
    138,158.16x = 44,490,001,585.16
  5. Step 5: Solve for x
    x = 44,490,001,585.16/138,158.16
  6. Step 6: Final answer
    x = 322,022.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.