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Finding the Third Proportional to 152,128 and 236,489

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Solution

The third proportional to 152,128 and 236,489 is: 367,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,128 : 236,489 = 236,489 : x
  2. Step 2: Convert to fraction form
    152,128/236,489 = 236,489/x
  3. Step 3: Cross multiply
    152,128x = 236,489 × 236,489
  4. Step 4: Simplify right side
    152,128x = 55,927,047,121
  5. Step 5: Solve for x
    x = 55,927,047,121/152,128
  6. Step 6: Final answer
    x = 367,631.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.