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Finding the Third Proportional to 142,266,653 and 213,399,965

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Solution

The third proportional to 142,266,653 and 213,399,965 is: 320,099,925.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,266,653 : 213,399,965 = 213,399,965 : x
  2. Step 2: Convert to fraction form
    142,266,653/213,399,965 = 213,399,965/x
  3. Step 3: Cross multiply
    142,266,653x = 213,399,965 × 213,399,965
  4. Step 4: Simplify right side
    142,266,653x = 45,539,545,062,001,224
  5. Step 5: Solve for x
    x = 45,539,545,062,001,224/142,266,653
  6. Step 6: Final answer
    x = 320,099,925.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.