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Finding the Third Proportional to 103,717 and 157,435

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Solution

The third proportional to 103,717 and 157,435 is: 238,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,717 : 157,435 = 157,435 : x
  2. Step 2: Convert to fraction form
    103,717/157,435 = 157,435/x
  3. Step 3: Cross multiply
    103,717x = 157,435 × 157,435
  4. Step 4: Simplify right side
    103,717x = 24,785,779,225
  5. Step 5: Solve for x
    x = 24,785,779,225/103,717
  6. Step 6: Final answer
    x = 238,975.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.