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Finding the Third Proportional to 85,879,402 and 185,376,978

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Solution

The third proportional to 85,879,402 and 185,376,978 is: 400,149,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,879,402 : 185,376,978 = 185,376,978 : x
  2. Step 2: Convert to fraction form
    85,879,402/185,376,978 = 185,376,978/x
  3. Step 3: Cross multiply
    85,879,402x = 185,376,978 × 185,376,978
  4. Step 4: Simplify right side
    85,879,402x = 34,364,623,972,412,484
  5. Step 5: Solve for x
    x = 34,364,623,972,412,484/85,879,402
  6. Step 6: Final answer
    x = 400,149,781.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.