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Finding the Third Proportional to 211,989 and 287,865

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Solution

The third proportional to 211,989 and 287,865 is: 390,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,989 : 287,865 = 287,865 : x
  2. Step 2: Convert to fraction form
    211,989/287,865 = 287,865/x
  3. Step 3: Cross multiply
    211,989x = 287,865 × 287,865
  4. Step 4: Simplify right side
    211,989x = 82,866,258,225
  5. Step 5: Solve for x
    x = 82,866,258,225/211,989
  6. Step 6: Final answer
    x = 390,898.86

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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.