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Finding the Third Proportional to 140,428 and 212,154

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Solution

The third proportional to 140,428 and 212,154 is: 320,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,428 : 212,154 = 212,154 : x
  2. Step 2: Convert to fraction form
    140,428/212,154 = 212,154/x
  3. Step 3: Cross multiply
    140,428x = 212,154 × 212,154
  4. Step 4: Simplify right side
    140,428x = 45,009,319,716
  5. Step 5: Solve for x
    x = 45,009,319,716/140,428
  6. Step 6: Final answer
    x = 320,515.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.