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Finding the Third Proportional to 312,553,296 and 678,912,624

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Solution

The third proportional to 312,553,296 and 678,912,624 is: 1,474,700,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,553,296 : 678,912,624 = 678,912,624 : x
  2. Step 2: Convert to fraction form
    312,553,296/678,912,624 = 678,912,624/x
  3. Step 3: Cross multiply
    312,553,296x = 678,912,624 × 678,912,624
  4. Step 4: Simplify right side
    312,553,296x = 460,922,351,026,565,376
  5. Step 5: Solve for x
    x = 460,922,351,026,565,376/312,553,296
  6. Step 6: Final answer
    x = 1,474,700,017.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.