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Finding the Third Proportional to 36,473 and 78,490

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Solution

The third proportional to 36,473 and 78,490 is: 168,910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,473 : 78,490 = 78,490 : x
  2. Step 2: Convert to fraction form
    36,473/78,490 = 78,490/x
  3. Step 3: Cross multiply
    36,473x = 78,490 × 78,490
  4. Step 4: Simplify right side
    36,473x = 6,160,680,100
  5. Step 5: Solve for x
    x = 6,160,680,100/36,473
  6. Step 6: Final answer
    x = 168,910.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.