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Finding the Third Proportional to 640,233 and 1,371,750

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Solution

The third proportional to 640,233 and 1,371,750 is: 2,939,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,233 : 1,371,750 = 1,371,750 : x
  2. Step 2: Convert to fraction form
    640,233/1,371,750 = 1,371,750/x
  3. Step 3: Cross multiply
    640,233x = 1,371,750 × 1,371,750
  4. Step 4: Simplify right side
    640,233x = 1,881,698,062,500
  5. Step 5: Solve for x
    x = 1,881,698,062,500/640,233
  6. Step 6: Final answer
    x = 2,939,083.21

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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.