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Finding the Third Proportional to 398,880,644 and 596,122,517

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Solution

The third proportional to 398,880,644 and 596,122,517 is: 890,898,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,880,644 : 596,122,517 = 596,122,517 : x
  2. Step 2: Convert to fraction form
    398,880,644/596,122,517 = 596,122,517/x
  3. Step 3: Cross multiply
    398,880,644x = 596,122,517 × 596,122,517
  4. Step 4: Simplify right side
    398,880,644x = 355,362,055,274,415,296
  5. Step 5: Solve for x
    x = 355,362,055,274,415,296/398,880,644
  6. Step 6: Final answer
    x = 890,898,218.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.