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Finding the Third Proportional to 223,190,640 and 472,932,432

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Solution

The third proportional to 223,190,640 and 472,932,432 is: 1,002,125,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,190,640 : 472,932,432 = 472,932,432 : x
  2. Step 2: Convert to fraction form
    223,190,640/472,932,432 = 472,932,432/x
  3. Step 3: Cross multiply
    223,190,640x = 472,932,432 × 472,932,432
  4. Step 4: Simplify right side
    223,190,640x = 223,665,085,237,434,624
  5. Step 5: Solve for x
    x = 223,665,085,237,434,624/223,190,640
  6. Step 6: Final answer
    x = 1,002,125,739.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.