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Finding the Third Proportional to 147,621 and 229,209

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Solution

The third proportional to 147,621 and 229,209 is: 355,889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,621 : 229,209 = 229,209 : x
  2. Step 2: Convert to fraction form
    147,621/229,209 = 229,209/x
  3. Step 3: Cross multiply
    147,621x = 229,209 × 229,209
  4. Step 4: Simplify right side
    147,621x = 52,536,765,681
  5. Step 5: Solve for x
    x = 52,536,765,681/147,621
  6. Step 6: Final answer
    x = 355,889.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.