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Finding the Third Proportional to 631,400 and 1,387,216

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Solution

The third proportional to 631,400 and 1,387,216 is: 3,047,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,400 : 1,387,216 = 1,387,216 : x
  2. Step 2: Convert to fraction form
    631,400/1,387,216 = 1,387,216/x
  3. Step 3: Cross multiply
    631,400x = 1,387,216 × 1,387,216
  4. Step 4: Simplify right side
    631,400x = 1,924,368,230,656
  5. Step 5: Solve for x
    x = 1,924,368,230,656/631,400
  6. Step 6: Final answer
    x = 3,047,779.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.