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Finding the Third Proportional to 640,456 and 1,386,103

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Solution

The third proportional to 640,456 and 1,386,103 is: 2,999,864.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,456 : 1,386,103 = 1,386,103 : x
  2. Step 2: Convert to fraction form
    640,456/1,386,103 = 1,386,103/x
  3. Step 3: Cross multiply
    640,456x = 1,386,103 × 1,386,103
  4. Step 4: Simplify right side
    640,456x = 1,921,281,526,609
  5. Step 5: Solve for x
    x = 1,921,281,526,609/640,456
  6. Step 6: Final answer
    x = 2,999,864.98

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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.