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Finding the Third Proportional to 315,422,398 and 690,306,412

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Solution

The third proportional to 315,422,398 and 690,306,412 is: 1,510,745,417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,422,398 : 690,306,412 = 690,306,412 : x
  2. Step 2: Convert to fraction form
    315,422,398/690,306,412 = 690,306,412/x
  3. Step 3: Cross multiply
    315,422,398x = 690,306,412 × 690,306,412
  4. Step 4: Simplify right side
    315,422,398x = 476,522,942,448,313,728
  5. Step 5: Solve for x
    x = 476,522,942,448,313,728/315,422,398
  6. Step 6: Final answer
    x = 1,510,745,417.79

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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.