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Finding the Third Proportional to 158,666 and 330,484

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Solution

The third proportional to 158,666 and 330,484 is: 688,362.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,666 : 330,484 = 330,484 : x
  2. Step 2: Convert to fraction form
    158,666/330,484 = 330,484/x
  3. Step 3: Cross multiply
    158,666x = 330,484 × 330,484
  4. Step 4: Simplify right side
    158,666x = 109,219,674,256
  5. Step 5: Solve for x
    x = 109,219,674,256/158,666
  6. Step 6: Final answer
    x = 688,362.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.