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Finding the Third Proportional to 640,276 and 1,389,080

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Solution

The third proportional to 640,276 and 1,389,080 is: 3,013,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,276 : 1,389,080 = 1,389,080 : x
  2. Step 2: Convert to fraction form
    640,276/1,389,080 = 1,389,080/x
  3. Step 3: Cross multiply
    640,276x = 1,389,080 × 1,389,080
  4. Step 4: Simplify right side
    640,276x = 1,929,543,246,400
  5. Step 5: Solve for x
    x = 1,929,543,246,400/640,276
  6. Step 6: Final answer
    x = 3,013,611.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.