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Finding the Third Proportional to 128,370 and 286,254

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Solution

The third proportional to 128,370 and 286,254 is: 638,321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,370 : 286,254 = 286,254 : x
  2. Step 2: Convert to fraction form
    128,370/286,254 = 286,254/x
  3. Step 3: Cross multiply
    128,370x = 286,254 × 286,254
  4. Step 4: Simplify right side
    128,370x = 81,941,352,516
  5. Step 5: Solve for x
    x = 81,941,352,516/128,370
  6. Step 6: Final answer
    x = 638,321.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.