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Finding the Third Proportional to 155,525 and 208,423

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Solution

The third proportional to 155,525 and 208,423 is: 279,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,525 : 208,423 = 208,423 : x
  2. Step 2: Convert to fraction form
    155,525/208,423 = 208,423/x
  3. Step 3: Cross multiply
    155,525x = 208,423 × 208,423
  4. Step 4: Simplify right side
    155,525x = 43,440,146,929
  5. Step 5: Solve for x
    x = 43,440,146,929/155,525
  6. Step 6: Final answer
    x = 279,312.95

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.