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Finding the Third Proportional to 316,440 and 422,706

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Solution

The third proportional to 316,440 and 422,706 is: 564,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,440 : 422,706 = 422,706 : x
  2. Step 2: Convert to fraction form
    316,440/422,706 = 422,706/x
  3. Step 3: Cross multiply
    316,440x = 422,706 × 422,706
  4. Step 4: Simplify right side
    316,440x = 178,680,362,436
  5. Step 5: Solve for x
    x = 178,680,362,436/316,440
  6. Step 6: Final answer
    x = 564,657.95

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.