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Finding the Third Proportional to 285,534,484.88 and 385,253,061.75

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Solution

The third proportional to 285,534,484.88 and 385,253,061.75 is: 519,796,835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,534,484.88 : 385,253,061.75 = 385,253,061.75 : x
  2. Step 2: Convert to fraction form
    285,534,484.88/385,253,061.75 = 385,253,061.75/x
  3. Step 3: Cross multiply
    285,534,484.88x = 385,253,061.75 × 385,253,061.75
  4. Step 4: Simplify right side
    285,534,484.88x = 148,419,921,587,749,312
  5. Step 5: Solve for x
    x = 148,419,921,587,749,312/285,534,484.88
  6. Step 6: Final answer
    x = 519,796,835.23

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