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Finding the Third Proportional to 155,261 and 334,306

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Solution

The third proportional to 155,261 and 334,306 is: 719,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,261 : 334,306 = 334,306 : x
  2. Step 2: Convert to fraction form
    155,261/334,306 = 334,306/x
  3. Step 3: Cross multiply
    155,261x = 334,306 × 334,306
  4. Step 4: Simplify right side
    155,261x = 111,760,501,636
  5. Step 5: Solve for x
    x = 111,760,501,636/155,261
  6. Step 6: Final answer
    x = 719,823.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.