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Finding the Third Proportional to 224,981 and 316,421

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Solution

The third proportional to 224,981 and 316,421 is: 445,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,981 : 316,421 = 316,421 : x
  2. Step 2: Convert to fraction form
    224,981/316,421 = 316,421/x
  3. Step 3: Cross multiply
    224,981x = 316,421 × 316,421
  4. Step 4: Simplify right side
    224,981x = 100,122,249,241
  5. Step 5: Solve for x
    x = 100,122,249,241/224,981
  6. Step 6: Final answer
    x = 445,025.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.