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Finding the Third Proportional to 271,326.50 and 578,678.50

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Solution

The third proportional to 271,326.50 and 578,678.50 is: 1,234,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,326.50 : 578,678.50 = 578,678.50 : x
  2. Step 2: Convert to fraction form
    271,326.50/578,678.50 = 578,678.50/x
  3. Step 3: Cross multiply
    271,326.50x = 578,678.50 × 578,678.50
  4. Step 4: Simplify right side
    271,326.50x = 334,868,806,362.25
  5. Step 5: Solve for x
    x = 334,868,806,362.25/271,326.50
  6. Step 6: Final answer
    x = 1,234,191.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.