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Finding the Third Proportional to 291,617,680 and 410,196,816

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Solution

The third proportional to 291,617,680 and 410,196,816 is: 576,993,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,617,680 : 410,196,816 = 410,196,816 : x
  2. Step 2: Convert to fraction form
    291,617,680/410,196,816 = 410,196,816/x
  3. Step 3: Cross multiply
    291,617,680x = 410,196,816 × 410,196,816
  4. Step 4: Simplify right side
    291,617,680x = 168,261,427,856,537,856
  5. Step 5: Solve for x
    x = 168,261,427,856,537,856/291,617,680
  6. Step 6: Final answer
    x = 576,993,232.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.