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Finding the Third Proportional to 128,298 and 201,528

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Solution

The third proportional to 128,298 and 201,528 is: 316,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,298 : 201,528 = 201,528 : x
  2. Step 2: Convert to fraction form
    128,298/201,528 = 201,528/x
  3. Step 3: Cross multiply
    128,298x = 201,528 × 201,528
  4. Step 4: Simplify right side
    128,298x = 40,613,534,784
  5. Step 5: Solve for x
    x = 40,613,534,784/128,298
  6. Step 6: Final answer
    x = 316,556.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.