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Finding the Third Proportional to 155,020 and 219,412

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Solution

The third proportional to 155,020 and 219,412 is: 310,551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,020 : 219,412 = 219,412 : x
  2. Step 2: Convert to fraction form
    155,020/219,412 = 219,412/x
  3. Step 3: Cross multiply
    155,020x = 219,412 × 219,412
  4. Step 4: Simplify right side
    155,020x = 48,141,625,744
  5. Step 5: Solve for x
    x = 48,141,625,744/155,020
  6. Step 6: Final answer
    x = 310,551.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.