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Finding the Third Proportional to 272,877,216 and 419,855,328

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Solution

The third proportional to 272,877,216 and 419,855,328 is: 645,999,321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,877,216 : 419,855,328 = 419,855,328 : x
  2. Step 2: Convert to fraction form
    272,877,216/419,855,328 = 419,855,328/x
  3. Step 3: Cross multiply
    272,877,216x = 419,855,328 × 419,855,328
  4. Step 4: Simplify right side
    272,877,216x = 176,278,496,449,987,584
  5. Step 5: Solve for x
    x = 176,278,496,449,987,584/272,877,216
  6. Step 6: Final answer
    x = 645,999,321.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.