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Finding the Third Proportional to 401,478 and 872,940

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Solution

The third proportional to 401,478 and 872,940 is: 1,898,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,478 : 872,940 = 872,940 : x
  2. Step 2: Convert to fraction form
    401,478/872,940 = 872,940/x
  3. Step 3: Cross multiply
    401,478x = 872,940 × 872,940
  4. Step 4: Simplify right side
    401,478x = 762,024,243,600
  5. Step 5: Solve for x
    x = 762,024,243,600/401,478
  6. Step 6: Final answer
    x = 1,898,047.32

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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.