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Finding the Third Proportional to 312,307,668 and 678,378,006

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Solution

The third proportional to 312,307,668 and 678,378,006 is: 1,473,536,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,307,668 : 678,378,006 = 678,378,006 : x
  2. Step 2: Convert to fraction form
    312,307,668/678,378,006 = 678,378,006/x
  3. Step 3: Cross multiply
    312,307,668x = 678,378,006 × 678,378,006
  4. Step 4: Simplify right side
    312,307,668x = 460,196,719,024,536,064
  5. Step 5: Solve for x
    x = 460,196,719,024,536,064/312,307,668
  6. Step 6: Final answer
    x = 1,473,536,407.13

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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.