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Finding the Third Proportional to 218,739,268 and 319,804,452

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Solution

The third proportional to 218,739,268 and 319,804,452 is: 467,565,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,739,268 : 319,804,452 = 319,804,452 : x
  2. Step 2: Convert to fraction form
    218,739,268/319,804,452 = 319,804,452/x
  3. Step 3: Cross multiply
    218,739,268x = 319,804,452 × 319,804,452
  4. Step 4: Simplify right side
    218,739,268x = 102,274,887,519,020,304
  5. Step 5: Solve for x
    x = 102,274,887,519,020,304/218,739,268
  6. Step 6: Final answer
    x = 467,565,281.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.