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Finding the Third Proportional to 128,364 and 281,528

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Solution

The third proportional to 128,364 and 281,528 is: 617,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,364 : 281,528 = 281,528 : x
  2. Step 2: Convert to fraction form
    128,364/281,528 = 281,528/x
  3. Step 3: Cross multiply
    128,364x = 281,528 × 281,528
  4. Step 4: Simplify right side
    128,364x = 79,258,014,784
  5. Step 5: Solve for x
    x = 79,258,014,784/128,364
  6. Step 6: Final answer
    x = 617,447.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.