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Finding the Third Proportional to 653,850 and 1,407,890

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Solution

The third proportional to 653,850 and 1,407,890 is: 3,031,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,850 : 1,407,890 = 1,407,890 : x
  2. Step 2: Convert to fraction form
    653,850/1,407,890 = 1,407,890/x
  3. Step 3: Cross multiply
    653,850x = 1,407,890 × 1,407,890
  4. Step 4: Simplify right side
    653,850x = 1,982,154,252,100
  5. Step 5: Solve for x
    x = 1,982,154,252,100/653,850
  6. Step 6: Final answer
    x = 3,031,512.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.