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Finding the Third Proportional to 272,877,339 and 419,855,512.50

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Solution

The third proportional to 272,877,339 and 419,855,512.50 is: 645,999,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,877,339 : 419,855,512.50 = 419,855,512.50 : x
  2. Step 2: Convert to fraction form
    272,877,339/419,855,512.50 = 419,855,512.50/x
  3. Step 3: Cross multiply
    272,877,339x = 419,855,512.50 × 419,855,512.50
  4. Step 4: Simplify right side
    272,877,339x = 176,278,651,376,637,664
  5. Step 5: Solve for x
    x = 176,278,651,376,637,664/272,877,339
  6. Step 6: Final answer
    x = 645,999,598.29

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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.