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Finding the Third Proportional to 128,070 and 192,528

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Solution

The third proportional to 128,070 and 192,528 is: 289,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,070 : 192,528 = 192,528 : x
  2. Step 2: Convert to fraction form
    128,070/192,528 = 192,528/x
  3. Step 3: Cross multiply
    128,070x = 192,528 × 192,528
  4. Step 4: Simplify right side
    128,070x = 37,067,030,784
  5. Step 5: Solve for x
    x = 37,067,030,784/128,070
  6. Step 6: Final answer
    x = 289,427.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.