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Finding the Third Proportional to 288,732 and 643,080

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Solution

The third proportional to 288,732 and 643,080 is: 1,432,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,732 : 643,080 = 643,080 : x
  2. Step 2: Convert to fraction form
    288,732/643,080 = 643,080/x
  3. Step 3: Cross multiply
    288,732x = 643,080 × 643,080
  4. Step 4: Simplify right side
    288,732x = 413,551,886,400
  5. Step 5: Solve for x
    x = 413,551,886,400/288,732
  6. Step 6: Final answer
    x = 1,432,303.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.