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Finding the Third Proportional to 155,315 and 336,019

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Solution

The third proportional to 155,315 and 336,019 is: 726,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,315 : 336,019 = 336,019 : x
  2. Step 2: Convert to fraction form
    155,315/336,019 = 336,019/x
  3. Step 3: Cross multiply
    155,315x = 336,019 × 336,019
  4. Step 4: Simplify right side
    155,315x = 112,908,768,361
  5. Step 5: Solve for x
    x = 112,908,768,361/155,315
  6. Step 6: Final answer
    x = 726,966.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.