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Finding the Third Proportional to 291,612 and 456,858

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Solution

The third proportional to 291,612 and 456,858 is: 715,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,612 : 456,858 = 456,858 : x
  2. Step 2: Convert to fraction form
    291,612/456,858 = 456,858/x
  3. Step 3: Cross multiply
    291,612x = 456,858 × 456,858
  4. Step 4: Simplify right side
    291,612x = 208,719,232,164
  5. Step 5: Solve for x
    x = 208,719,232,164/291,612
  6. Step 6: Final answer
    x = 715,742.95

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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.