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Finding the Third Proportional to 113,720,478 and 166,315,743

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Solution

The third proportional to 113,720,478 and 166,315,743 is: 243,236,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,720,478 : 166,315,743 = 166,315,743 : x
  2. Step 2: Convert to fraction form
    113,720,478/166,315,743 = 166,315,743/x
  3. Step 3: Cross multiply
    113,720,478x = 166,315,743 × 166,315,743
  4. Step 4: Simplify right side
    113,720,478x = 27,660,926,369,642,048
  5. Step 5: Solve for x
    x = 27,660,926,369,642,048/113,720,478
  6. Step 6: Final answer
    x = 243,236,107.13

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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.