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Finding the Third Proportional to 280,479,390 and 419,149,273.50

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Solution

The third proportional to 280,479,390 and 419,149,273.50 is: 626,377,979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,479,390 : 419,149,273.50 = 419,149,273.50 : x
  2. Step 2: Convert to fraction form
    280,479,390/419,149,273.50 = 419,149,273.50/x
  3. Step 3: Cross multiply
    280,479,390x = 419,149,273.50 × 419,149,273.50
  4. Step 4: Simplify right side
    280,479,390x = 175,686,113,475,577,792
  5. Step 5: Solve for x
    x = 175,686,113,475,577,792/280,479,390
  6. Step 6: Final answer
    x = 626,377,979.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.