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Finding the Third Proportional to 174,509 and 276,776

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Solution

The third proportional to 174,509 and 276,776 is: 438,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,509 : 276,776 = 276,776 : x
  2. Step 2: Convert to fraction form
    174,509/276,776 = 276,776/x
  3. Step 3: Cross multiply
    174,509x = 276,776 × 276,776
  4. Step 4: Simplify right side
    174,509x = 76,604,954,176
  5. Step 5: Solve for x
    x = 76,604,954,176/174,509
  6. Step 6: Final answer
    x = 438,974.23

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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.