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Finding the Third Proportional to 505,184 and 780,292

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Solution

The third proportional to 505,184 and 780,292 is: 1,205,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,184 : 780,292 = 780,292 : x
  2. Step 2: Convert to fraction form
    505,184/780,292 = 780,292/x
  3. Step 3: Cross multiply
    505,184x = 780,292 × 780,292
  4. Step 4: Simplify right side
    505,184x = 608,855,605,264
  5. Step 5: Solve for x
    x = 608,855,605,264/505,184
  6. Step 6: Final answer
    x = 1,205,215.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.