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Finding the Third Proportional to 164,029 and 215,385

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Solution

The third proportional to 164,029 and 215,385 is: 282,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,029 : 215,385 = 215,385 : x
  2. Step 2: Convert to fraction form
    164,029/215,385 = 215,385/x
  3. Step 3: Cross multiply
    164,029x = 215,385 × 215,385
  4. Step 4: Simplify right side
    164,029x = 46,390,698,225
  5. Step 5: Solve for x
    x = 46,390,698,225/164,029
  6. Step 6: Final answer
    x = 282,820.10

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.