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Finding the Third Proportional to 316,987,380 and 690,249,375

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Solution

The third proportional to 316,987,380 and 690,249,375 is: 1,503,038,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,987,380 : 690,249,375 = 690,249,375 : x
  2. Step 2: Convert to fraction form
    316,987,380/690,249,375 = 690,249,375/x
  3. Step 3: Cross multiply
    316,987,380x = 690,249,375 × 690,249,375
  4. Step 4: Simplify right side
    316,987,380x = 476,444,199,687,890,624
  5. Step 5: Solve for x
    x = 476,444,199,687,890,624/316,987,380
  6. Step 6: Final answer
    x = 1,503,038,384.96

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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.