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Finding the Third Proportional to 315,855 and 496,332

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Solution

The third proportional to 315,855 and 496,332 is: 779,932.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,855 : 496,332 = 496,332 : x
  2. Step 2: Convert to fraction form
    315,855/496,332 = 496,332/x
  3. Step 3: Cross multiply
    315,855x = 496,332 × 496,332
  4. Step 4: Simplify right side
    315,855x = 246,345,454,224
  5. Step 5: Solve for x
    x = 246,345,454,224/315,855
  6. Step 6: Final answer
    x = 779,932.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.