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Finding the Third Proportional to 51,473 and 78,209

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Solution

The third proportional to 51,473 and 78,209 is: 118,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,473 : 78,209 = 78,209 : x
  2. Step 2: Convert to fraction form
    51,473/78,209 = 78,209/x
  3. Step 3: Cross multiply
    51,473x = 78,209 × 78,209
  4. Step 4: Simplify right side
    51,473x = 6,116,647,681
  5. Step 5: Solve for x
    x = 6,116,647,681/51,473
  6. Step 6: Final answer
    x = 118,832.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.