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Finding the Third Proportional to 579,776 and 801,120

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Solution

The third proportional to 579,776 and 801,120 is: 1,106,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,776 : 801,120 = 801,120 : x
  2. Step 2: Convert to fraction form
    579,776/801,120 = 801,120/x
  3. Step 3: Cross multiply
    579,776x = 801,120 × 801,120
  4. Step 4: Simplify right side
    579,776x = 641,793,254,400
  5. Step 5: Solve for x
    x = 641,793,254,400/579,776
  6. Step 6: Final answer
    x = 1,106,967.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.