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Finding the Third Proportional to 270,805.50 and 378,585

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Solution

The third proportional to 270,805.50 and 378,585 is: 529,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,805.50 : 378,585 = 378,585 : x
  2. Step 2: Convert to fraction form
    270,805.50/378,585 = 378,585/x
  3. Step 3: Cross multiply
    270,805.50x = 378,585 × 378,585
  4. Step 4: Simplify right side
    270,805.50x = 143,326,602,225
  5. Step 5: Solve for x
    x = 143,326,602,225/270,805.50
  6. Step 6: Final answer
    x = 529,260.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.