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Finding the Third Proportional to 317,677,213 and 688,105,190

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Solution

The third proportional to 317,677,213 and 688,105,190 is: 1,490,471,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,677,213 : 688,105,190 = 688,105,190 : x
  2. Step 2: Convert to fraction form
    317,677,213/688,105,190 = 688,105,190/x
  3. Step 3: Cross multiply
    317,677,213x = 688,105,190 × 688,105,190
  4. Step 4: Simplify right side
    317,677,213x = 473,488,752,504,936,128
  5. Step 5: Solve for x
    x = 473,488,752,504,936,128/317,677,213
  6. Step 6: Final answer
    x = 1,490,471,249.21

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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.