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Finding the Third Proportional to 316,987,100 and 690,248,808

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Solution

The third proportional to 316,987,100 and 690,248,808 is: 1,503,037,243.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,987,100 : 690,248,808 = 690,248,808 : x
  2. Step 2: Convert to fraction form
    316,987,100/690,248,808 = 690,248,808/x
  3. Step 3: Cross multiply
    316,987,100x = 690,248,808 × 690,248,808
  4. Step 4: Simplify right side
    316,987,100x = 476,443,416,945,420,864
  5. Step 5: Solve for x
    x = 476,443,416,945,420,864/316,987,100
  6. Step 6: Final answer
    x = 1,503,037,243.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.