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Finding the Third Proportional to 78,000 and 168,453

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Solution

The third proportional to 78,000 and 168,453 is: 363,800.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,000 : 168,453 = 168,453 : x
  2. Step 2: Convert to fraction form
    78,000/168,453 = 168,453/x
  3. Step 3: Cross multiply
    78,000x = 168,453 × 168,453
  4. Step 4: Simplify right side
    78,000x = 28,376,413,209
  5. Step 5: Solve for x
    x = 28,376,413,209/78,000
  6. Step 6: Final answer
    x = 363,800.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.