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Finding the Third Proportional to 315,422,394.75 and 690,306,403.50

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Solution

The third proportional to 315,422,394.75 and 690,306,403.50 is: 1,510,745,396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,422,394.75 : 690,306,403.50 = 690,306,403.50 : x
  2. Step 2: Convert to fraction form
    315,422,394.75/690,306,403.50 = 690,306,403.50/x
  3. Step 3: Cross multiply
    315,422,394.75x = 690,306,403.50 × 690,306,403.50
  4. Step 4: Simplify right side
    315,422,394.75x = 476,522,930,713,104,832
  5. Step 5: Solve for x
    x = 476,522,930,713,104,832/315,422,394.75
  6. Step 6: Final answer
    x = 1,510,745,396.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.