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Finding the Third Proportional to 280,413,274 and 649,105,989

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Solution

The third proportional to 280,413,274 and 649,105,989 is: 1,502,562,909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,413,274 : 649,105,989 = 649,105,989 : x
  2. Step 2: Convert to fraction form
    280,413,274/649,105,989 = 649,105,989/x
  3. Step 3: Cross multiply
    280,413,274x = 649,105,989 × 649,105,989
  4. Step 4: Simplify right side
    280,413,274x = 421,338,584,955,668,096
  5. Step 5: Solve for x
    x = 421,338,584,955,668,096/280,413,274
  6. Step 6: Final answer
    x = 1,502,562,909.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.