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Finding the Third Proportional to 317,588,793.05 and 687,939,712.88

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Solution

The third proportional to 317,588,793.05 and 687,939,712.88 is: 1,490,169,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,588,793.05 : 687,939,712.88 = 687,939,712.88 : x
  2. Step 2: Convert to fraction form
    317,588,793.05/687,939,712.88 = 687,939,712.88/x
  3. Step 3: Cross multiply
    317,588,793.05x = 687,939,712.88 × 687,939,712.88
  4. Step 4: Simplify right side
    317,588,793.05x = 473,261,048,550,537,472
  5. Step 5: Solve for x
    x = 473,261,048,550,537,472/317,588,793.05
  6. Step 6: Final answer
    x = 1,490,169,234.28

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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.