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Finding the Third Proportional to 640,489 and 1,386,166

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Solution

The third proportional to 640,489 and 1,386,166 is: 2,999,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,489 : 1,386,166 = 1,386,166 : x
  2. Step 2: Convert to fraction form
    640,489/1,386,166 = 1,386,166/x
  3. Step 3: Cross multiply
    640,489x = 1,386,166 × 1,386,166
  4. Step 4: Simplify right side
    640,489x = 1,921,456,179,556
  5. Step 5: Solve for x
    x = 1,921,456,179,556/640,489
  6. Step 6: Final answer
    x = 2,999,983.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.