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Finding the Third Proportional to 304,580 and 654,520

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Solution

The third proportional to 304,580 and 654,520 is: 1,406,515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,580 : 654,520 = 654,520 : x
  2. Step 2: Convert to fraction form
    304,580/654,520 = 654,520/x
  3. Step 3: Cross multiply
    304,580x = 654,520 × 654,520
  4. Step 4: Simplify right side
    304,580x = 428,396,430,400
  5. Step 5: Solve for x
    x = 428,396,430,400/304,580
  6. Step 6: Final answer
    x = 1,406,515.30

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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.