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Finding the Third Proportional to 653,200 and 1,399,712

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Solution

The third proportional to 653,200 and 1,399,712 is: 2,999,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,200 : 1,399,712 = 1,399,712 : x
  2. Step 2: Convert to fraction form
    653,200/1,399,712 = 1,399,712/x
  3. Step 3: Cross multiply
    653,200x = 1,399,712 × 1,399,712
  4. Step 4: Simplify right side
    653,200x = 1,959,193,682,944
  5. Step 5: Solve for x
    x = 1,959,193,682,944/653,200
  6. Step 6: Final answer
    x = 2,999,377.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.