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Finding the Third Proportional to 179,389.50 and 390,310.50

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Solution

The third proportional to 179,389.50 and 390,310.50 is: 849,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,389.50 : 390,310.50 = 390,310.50 : x
  2. Step 2: Convert to fraction form
    179,389.50/390,310.50 = 390,310.50/x
  3. Step 3: Cross multiply
    179,389.50x = 390,310.50 × 390,310.50
  4. Step 4: Simplify right side
    179,389.50x = 152,342,286,410.25
  5. Step 5: Solve for x
    x = 152,342,286,410.25/179,389.50
  6. Step 6: Final answer
    x = 849,226.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.