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Finding the Third Proportional to 401,120 and 871,360

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Solution

The third proportional to 401,120 and 871,360 is: 1,892,870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,120 : 871,360 = 871,360 : x
  2. Step 2: Convert to fraction form
    401,120/871,360 = 871,360/x
  3. Step 3: Cross multiply
    401,120x = 871,360 × 871,360
  4. Step 4: Simplify right side
    401,120x = 759,268,249,600
  5. Step 5: Solve for x
    x = 759,268,249,600/401,120
  6. Step 6: Final answer
    x = 1,892,870.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.