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Finding the Third Proportional to 360,612 and 540,972

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Solution

The third proportional to 360,612 and 540,972 is: 811,539.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,612 : 540,972 = 540,972 : x
  2. Step 2: Convert to fraction form
    360,612/540,972 = 540,972/x
  3. Step 3: Cross multiply
    360,612x = 540,972 × 540,972
  4. Step 4: Simplify right side
    360,612x = 292,650,704,784
  5. Step 5: Solve for x
    x = 292,650,704,784/360,612
  6. Step 6: Final answer
    x = 811,539.01

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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.