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Finding the Third Proportional to 316,903,002.75 and 677,418,309

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Solution

The third proportional to 316,903,002.75 and 677,418,309 is: 1,448,063,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,903,002.75 : 677,418,309 = 677,418,309 : x
  2. Step 2: Convert to fraction form
    316,903,002.75/677,418,309 = 677,418,309/x
  3. Step 3: Cross multiply
    316,903,002.75x = 677,418,309 × 677,418,309
  4. Step 4: Simplify right side
    316,903,002.75x = 458,895,565,368,419,456
  5. Step 5: Solve for x
    x = 458,895,565,368,419,456/316,903,002.75
  6. Step 6: Final answer
    x = 1,448,063,165.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.