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Finding the Third Proportional to 276,632 and 439,140

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Solution

The third proportional to 276,632 and 439,140 is: 697,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,632 : 439,140 = 439,140 : x
  2. Step 2: Convert to fraction form
    276,632/439,140 = 439,140/x
  3. Step 3: Cross multiply
    276,632x = 439,140 × 439,140
  4. Step 4: Simplify right side
    276,632x = 192,843,939,600
  5. Step 5: Solve for x
    x = 192,843,939,600/276,632
  6. Step 6: Final answer
    x = 697,113.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.