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Finding the Third Proportional to 128,580 and 286,968

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Solution

The third proportional to 128,580 and 286,968 is: 640,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,580 : 286,968 = 286,968 : x
  2. Step 2: Convert to fraction form
    128,580/286,968 = 286,968/x
  3. Step 3: Cross multiply
    128,580x = 286,968 × 286,968
  4. Step 4: Simplify right side
    128,580x = 82,350,633,024
  5. Step 5: Solve for x
    x = 82,350,633,024/128,580
  6. Step 6: Final answer
    x = 640,462.23

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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.