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Finding the Third Proportional to 640,338 and 927,447

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Solution

The third proportional to 640,338 and 927,447 is: 1,343,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,338 : 927,447 = 927,447 : x
  2. Step 2: Convert to fraction form
    640,338/927,447 = 927,447/x
  3. Step 3: Cross multiply
    640,338x = 927,447 × 927,447
  4. Step 4: Simplify right side
    640,338x = 860,157,937,809
  5. Step 5: Solve for x
    x = 860,157,937,809/640,338
  6. Step 6: Final answer
    x = 1,343,287.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.