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Finding the Third Proportional to 164,289 and 253,688

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Solution

The third proportional to 164,289 and 253,688 is: 391,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,289 : 253,688 = 253,688 : x
  2. Step 2: Convert to fraction form
    164,289/253,688 = 253,688/x
  3. Step 3: Cross multiply
    164,289x = 253,688 × 253,688
  4. Step 4: Simplify right side
    164,289x = 64,357,601,344
  5. Step 5: Solve for x
    x = 64,357,601,344/164,289
  6. Step 6: Final answer
    x = 391,734.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.