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Finding the Third Proportional to 135,087 and 312,729

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Solution

The third proportional to 135,087 and 312,729 is: 723,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,087 : 312,729 = 312,729 : x
  2. Step 2: Convert to fraction form
    135,087/312,729 = 312,729/x
  3. Step 3: Cross multiply
    135,087x = 312,729 × 312,729
  4. Step 4: Simplify right side
    135,087x = 97,799,427,441
  5. Step 5: Solve for x
    x = 97,799,427,441/135,087
  6. Step 6: Final answer
    x = 723,973.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.