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Finding the Third Proportional to 120,475 and 254,513

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Solution

The third proportional to 120,475 and 254,513 is: 537,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,475 : 254,513 = 254,513 : x
  2. Step 2: Convert to fraction form
    120,475/254,513 = 254,513/x
  3. Step 3: Cross multiply
    120,475x = 254,513 × 254,513
  4. Step 4: Simplify right side
    120,475x = 64,776,867,169
  5. Step 5: Solve for x
    x = 64,776,867,169/120,475
  6. Step 6: Final answer
    x = 537,678.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.