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Finding the Third Proportional to 71,397 and 106,316

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Solution

The third proportional to 71,397 and 106,316 is: 158,313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,397 : 106,316 = 106,316 : x
  2. Step 2: Convert to fraction form
    71,397/106,316 = 106,316/x
  3. Step 3: Cross multiply
    71,397x = 106,316 × 106,316
  4. Step 4: Simplify right side
    71,397x = 11,303,091,856
  5. Step 5: Solve for x
    x = 11,303,091,856/71,397
  6. Step 6: Final answer
    x = 158,313.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.