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Finding the Third Proportional to 100,154,880 and 219,438,720

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Solution

The third proportional to 100,154,880 and 219,438,720 is: 480,788,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,154,880 : 219,438,720 = 219,438,720 : x
  2. Step 2: Convert to fraction form
    100,154,880/219,438,720 = 219,438,720/x
  3. Step 3: Cross multiply
    100,154,880x = 219,438,720 × 219,438,720
  4. Step 4: Simplify right side
    100,154,880x = 48,153,351,835,238,400
  5. Step 5: Solve for x
    x = 48,153,351,835,238,400/100,154,880
  6. Step 6: Final answer
    x = 480,788,872.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.