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Finding the Third Proportional to 318,382,800 and 685,474,464

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Solution

The third proportional to 318,382,800 and 685,474,464 is: 1,475,818,545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,382,800 : 685,474,464 = 685,474,464 : x
  2. Step 2: Convert to fraction form
    318,382,800/685,474,464 = 685,474,464/x
  3. Step 3: Cross multiply
    318,382,800x = 685,474,464 × 685,474,464
  4. Step 4: Simplify right side
    318,382,800x = 469,875,240,796,087,296
  5. Step 5: Solve for x
    x = 469,875,240,796,087,296/318,382,800
  6. Step 6: Final answer
    x = 1,475,818,545.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.