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Finding the Third Proportional to 360,622 and 540,987

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Solution

The third proportional to 360,622 and 540,987 is: 811,561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,622 : 540,987 = 540,987 : x
  2. Step 2: Convert to fraction form
    360,622/540,987 = 540,987/x
  3. Step 3: Cross multiply
    360,622x = 540,987 × 540,987
  4. Step 4: Simplify right side
    360,622x = 292,666,934,169
  5. Step 5: Solve for x
    x = 292,666,934,169/360,622
  6. Step 6: Final answer
    x = 811,561.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.