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Finding the Third Proportional to 686,867 and 1,009,720

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Solution

The third proportional to 686,867 and 1,009,720 is: 1,484,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,867 : 1,009,720 = 1,009,720 : x
  2. Step 2: Convert to fraction form
    686,867/1,009,720 = 1,009,720/x
  3. Step 3: Cross multiply
    686,867x = 1,009,720 × 1,009,720
  4. Step 4: Simplify right side
    686,867x = 1,019,534,478,400
  5. Step 5: Solve for x
    x = 1,019,534,478,400/686,867
  6. Step 6: Final answer
    x = 1,484,325.90

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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.