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Finding the Third Proportional to 135,707 and 286,724

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Solution

The third proportional to 135,707 and 286,724 is: 605,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,707 : 286,724 = 286,724 : x
  2. Step 2: Convert to fraction form
    135,707/286,724 = 286,724/x
  3. Step 3: Cross multiply
    135,707x = 286,724 × 286,724
  4. Step 4: Simplify right side
    135,707x = 82,210,652,176
  5. Step 5: Solve for x
    x = 82,210,652,176/135,707
  6. Step 6: Final answer
    x = 605,795.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.