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Finding the Third Proportional to 153,378 and 235,659

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Solution

The third proportional to 153,378 and 235,659 is: 362,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,378 : 235,659 = 235,659 : x
  2. Step 2: Convert to fraction form
    153,378/235,659 = 235,659/x
  3. Step 3: Cross multiply
    153,378x = 235,659 × 235,659
  4. Step 4: Simplify right side
    153,378x = 55,535,164,281
  5. Step 5: Solve for x
    x = 55,535,164,281/153,378
  6. Step 6: Final answer
    x = 362,080.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.