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Finding the Third Proportional to 138,145.50 and 273,056.06

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Solution

The third proportional to 138,145.50 and 273,056.06 is: 539,718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,145.50 : 273,056.06 = 273,056.06 : x
  2. Step 2: Convert to fraction form
    138,145.50/273,056.06 = 273,056.06/x
  3. Step 3: Cross multiply
    138,145.50x = 273,056.06 × 273,056.06
  4. Step 4: Simplify right side
    138,145.50x = 74,559,613,268.00
  5. Step 5: Solve for x
    x = 74,559,613,268.00/138,145.50
  6. Step 6: Final answer
    x = 539,718.00

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.