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Finding the Third Proportional to 245,058 and 390,195

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Solution

The third proportional to 245,058 and 390,195 is: 621,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,058 : 390,195 = 390,195 : x
  2. Step 2: Convert to fraction form
    245,058/390,195 = 390,195/x
  3. Step 3: Cross multiply
    245,058x = 390,195 × 390,195
  4. Step 4: Simplify right side
    245,058x = 152,252,138,025
  5. Step 5: Solve for x
    x = 152,252,138,025/245,058
  6. Step 6: Final answer
    x = 621,290.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.