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Finding the Third Proportional to 291,781,068.50 and 640,329,822

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Solution

The third proportional to 291,781,068.50 and 640,329,822 is: 1,405,239,493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,781,068.50 : 640,329,822 = 640,329,822 : x
  2. Step 2: Convert to fraction form
    291,781,068.50/640,329,822 = 640,329,822/x
  3. Step 3: Cross multiply
    291,781,068.50x = 640,329,822 × 640,329,822
  4. Step 4: Simplify right side
    291,781,068.50x = 410,022,280,942,551,680
  5. Step 5: Solve for x
    x = 410,022,280,942,551,680/291,781,068.50
  6. Step 6: Final answer
    x = 1,405,239,493.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.