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Finding the Third Proportional to 287,464 and 611,216

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Solution

The third proportional to 287,464 and 611,216 is: 1,299,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,464 : 611,216 = 611,216 : x
  2. Step 2: Convert to fraction form
    287,464/611,216 = 611,216/x
  3. Step 3: Cross multiply
    287,464x = 611,216 × 611,216
  4. Step 4: Simplify right side
    287,464x = 373,584,998,656
  5. Step 5: Solve for x
    x = 373,584,998,656/287,464
  6. Step 6: Final answer
    x = 1,299,588.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.