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Finding the Third Proportional to 155,017.13 and 219,410.02

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Solution

The third proportional to 155,017.13 and 219,410.02 is: 310,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,017.13 : 219,410.02 = 219,410.02 : x
  2. Step 2: Convert to fraction form
    155,017.13/219,410.02 = 219,410.02/x
  3. Step 3: Cross multiply
    155,017.13x = 219,410.02 × 219,410.02
  4. Step 4: Simplify right side
    155,017.13x = 48,140,754,956.56
  5. Step 5: Solve for x
    x = 48,140,754,956.56/155,017.13
  6. Step 6: Final answer
    x = 310,551.20

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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.