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Finding the Third Proportional to 341,418 and 535,509

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Solution

The third proportional to 341,418 and 535,509 is: 839,937.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,418 : 535,509 = 535,509 : x
  2. Step 2: Convert to fraction form
    341,418/535,509 = 535,509/x
  3. Step 3: Cross multiply
    341,418x = 535,509 × 535,509
  4. Step 4: Simplify right side
    341,418x = 286,769,889,081
  5. Step 5: Solve for x
    x = 286,769,889,081/341,418
  6. Step 6: Final answer
    x = 839,937.82

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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.