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Finding the Third Proportional to 128,217 and 183,076

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Solution

The third proportional to 128,217 and 183,076 is: 261,407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,217 : 183,076 = 183,076 : x
  2. Step 2: Convert to fraction form
    128,217/183,076 = 183,076/x
  3. Step 3: Cross multiply
    128,217x = 183,076 × 183,076
  4. Step 4: Simplify right side
    128,217x = 33,516,821,776
  5. Step 5: Solve for x
    x = 33,516,821,776/128,217
  6. Step 6: Final answer
    x = 261,407.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.