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Finding the Third Proportional to 161,715 and 254,453

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Solution

The third proportional to 161,715 and 254,453 is: 400,373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,715 : 254,453 = 254,453 : x
  2. Step 2: Convert to fraction form
    161,715/254,453 = 254,453/x
  3. Step 3: Cross multiply
    161,715x = 254,453 × 254,453
  4. Step 4: Simplify right side
    161,715x = 64,746,329,209
  5. Step 5: Solve for x
    x = 64,746,329,209/161,715
  6. Step 6: Final answer
    x = 400,373.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.