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Finding the Third Proportional to 102,905 and 155,453

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Solution

The third proportional to 102,905 and 155,453 is: 234,834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,905 : 155,453 = 155,453 : x
  2. Step 2: Convert to fraction form
    102,905/155,453 = 155,453/x
  3. Step 3: Cross multiply
    102,905x = 155,453 × 155,453
  4. Step 4: Simplify right side
    102,905x = 24,165,635,209
  5. Step 5: Solve for x
    x = 24,165,635,209/102,905
  6. Step 6: Final answer
    x = 234,834.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.