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Finding the Third Proportional to 640,143 and 1,371,375

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Solution

The third proportional to 640,143 and 1,371,375 is: 2,937,889.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,143 : 1,371,375 = 1,371,375 : x
  2. Step 2: Convert to fraction form
    640,143/1,371,375 = 1,371,375/x
  3. Step 3: Cross multiply
    640,143x = 1,371,375 × 1,371,375
  4. Step 4: Simplify right side
    640,143x = 1,880,669,390,625
  5. Step 5: Solve for x
    x = 1,880,669,390,625/640,143
  6. Step 6: Final answer
    x = 2,937,889.49

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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.