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Finding the Third Proportional to 361,379,642.25 and 487,585,983

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Solution

The third proportional to 361,379,642.25 and 487,585,983 is: 657,867,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,379,642.25 : 487,585,983 = 487,585,983 : x
  2. Step 2: Convert to fraction form
    361,379,642.25/487,585,983 = 487,585,983/x
  3. Step 3: Cross multiply
    361,379,642.25x = 487,585,983 × 487,585,983
  4. Step 4: Simplify right side
    361,379,642.25x = 237,740,090,818,076,288
  5. Step 5: Solve for x
    x = 237,740,090,818,076,288/361,379,642.25
  6. Step 6: Final answer
    x = 657,867,967.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.