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Finding the Third Proportional to 56,900,378 and 81,309,315

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Solution

The third proportional to 56,900,378 and 81,309,315 is: 116,189,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,900,378 : 81,309,315 = 81,309,315 : x
  2. Step 2: Convert to fraction form
    56,900,378/81,309,315 = 81,309,315/x
  3. Step 3: Cross multiply
    56,900,378x = 81,309,315 × 81,309,315
  4. Step 4: Simplify right side
    56,900,378x = 6,611,204,705,769,225
  5. Step 5: Solve for x
    x = 6,611,204,705,769,225/56,900,378
  6. Step 6: Final answer
    x = 116,189,117.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.