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Finding the Third Proportional to 312,307,713 and 678,378,082.50

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Solution

The third proportional to 312,307,713 and 678,378,082.50 is: 1,473,536,527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,307,713 : 678,378,082.50 = 678,378,082.50 : x
  2. Step 2: Convert to fraction form
    312,307,713/678,378,082.50 = 678,378,082.50/x
  3. Step 3: Cross multiply
    312,307,713x = 678,378,082.50 × 678,378,082.50
  4. Step 4: Simplify right side
    312,307,713x = 460,196,822,816,376,832
  5. Step 5: Solve for x
    x = 460,196,822,816,376,832/312,307,713
  6. Step 6: Final answer
    x = 1,473,536,527.15

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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.