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Finding the Third Proportional to 386,940 and 525,454.50

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Solution

The third proportional to 386,940 and 525,454.50 is: 713,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,940 : 525,454.50 = 525,454.50 : x
  2. Step 2: Convert to fraction form
    386,940/525,454.50 = 525,454.50/x
  3. Step 3: Cross multiply
    386,940x = 525,454.50 × 525,454.50
  4. Step 4: Simplify right side
    386,940x = 276,102,431,570.25
  5. Step 5: Solve for x
    x = 276,102,431,570.25/386,940
  6. Step 6: Final answer
    x = 713,553.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.