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Finding the Third Proportional to 147,283 and 215,172

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Solution

The third proportional to 147,283 and 215,172 is: 314,353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,283 : 215,172 = 215,172 : x
  2. Step 2: Convert to fraction form
    147,283/215,172 = 215,172/x
  3. Step 3: Cross multiply
    147,283x = 215,172 × 215,172
  4. Step 4: Simplify right side
    147,283x = 46,298,989,584
  5. Step 5: Solve for x
    x = 46,298,989,584/147,283
  6. Step 6: Final answer
    x = 314,353.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.