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Finding the Third Proportional to 211,312 and 287,808

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Solution

The third proportional to 211,312 and 287,808 is: 391,995.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,312 : 287,808 = 287,808 : x
  2. Step 2: Convert to fraction form
    211,312/287,808 = 287,808/x
  3. Step 3: Cross multiply
    211,312x = 287,808 × 287,808
  4. Step 4: Simplify right side
    211,312x = 82,833,444,864
  5. Step 5: Solve for x
    x = 82,833,444,864/211,312
  6. Step 6: Final answer
    x = 391,995.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.