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Finding the Third Proportional to 180,990 and 390,030

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Solution

The third proportional to 180,990 and 390,030 is: 840,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,990 : 390,030 = 390,030 : x
  2. Step 2: Convert to fraction form
    180,990/390,030 = 390,030/x
  3. Step 3: Cross multiply
    180,990x = 390,030 × 390,030
  4. Step 4: Simplify right side
    180,990x = 152,123,400,900
  5. Step 5: Solve for x
    x = 152,123,400,900/180,990
  6. Step 6: Final answer
    x = 840,507.22

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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.