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Finding the Third Proportional to 272,877,202.50 and 419,855,307.75

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Solution

The third proportional to 272,877,202.50 and 419,855,307.75 is: 645,999,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,877,202.50 : 419,855,307.75 = 419,855,307.75 : x
  2. Step 2: Convert to fraction form
    272,877,202.50/419,855,307.75 = 419,855,307.75/x
  3. Step 3: Cross multiply
    272,877,202.50x = 419,855,307.75 × 419,855,307.75
  4. Step 4: Simplify right side
    272,877,202.50x = 176,278,479,445,847,200
  5. Step 5: Solve for x
    x = 176,278,479,445,847,200/272,877,202.50
  6. Step 6: Final answer
    x = 645,999,291.37

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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.