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Finding the Third Proportional to 280,413,272.25 and 649,105,984.13

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Solution

The third proportional to 280,413,272.25 and 649,105,984.13 is: 1,502,562,896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,413,272.25 : 649,105,984.13 = 649,105,984.13 : x
  2. Step 2: Convert to fraction form
    280,413,272.25/649,105,984.13 = 649,105,984.13/x
  3. Step 3: Cross multiply
    280,413,272.25x = 649,105,984.13 × 649,105,984.13
  4. Step 4: Simplify right side
    280,413,272.25x = 421,338,578,626,884,736
  5. Step 5: Solve for x
    x = 421,338,578,626,884,736/280,413,272.25
  6. Step 6: Final answer
    x = 1,502,562,896.71

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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.