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Finding the Third Proportional to 145,972.88 and 316,868.44

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Solution

The third proportional to 145,972.88 and 316,868.44 is: 687,837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,972.88 : 316,868.44 = 316,868.44 : x
  2. Step 2: Convert to fraction form
    145,972.88/316,868.44 = 316,868.44/x
  3. Step 3: Cross multiply
    145,972.88x = 316,868.44 × 316,868.44
  4. Step 4: Simplify right side
    145,972.88x = 100,405,606,683.69
  5. Step 5: Solve for x
    x = 100,405,606,683.69/145,972.88
  6. Step 6: Final answer
    x = 687,837.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.