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Finding the Third Proportional to 686,856.38 and 1,009,707.19

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Solution

The third proportional to 686,856.38 and 1,009,707.19 is: 1,484,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,856.38 : 1,009,707.19 = 1,009,707.19 : x
  2. Step 2: Convert to fraction form
    686,856.38/1,009,707.19 = 1,009,707.19/x
  3. Step 3: Cross multiply
    686,856.38x = 1,009,707.19 × 1,009,707.19
  4. Step 4: Simplify right side
    686,856.38x = 1,019,508,604,489.16
  5. Step 5: Solve for x
    x = 1,019,508,604,489.16/686,856.38
  6. Step 6: Final answer
    x = 1,484,311.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.