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Finding the Third Proportional to 158,789 and 330,646

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Solution

The third proportional to 158,789 and 330,646 is: 688,503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,789 : 330,646 = 330,646 : x
  2. Step 2: Convert to fraction form
    158,789/330,646 = 330,646/x
  3. Step 3: Cross multiply
    158,789x = 330,646 × 330,646
  4. Step 4: Simplify right side
    158,789x = 109,326,777,316
  5. Step 5: Solve for x
    x = 109,326,777,316/158,789
  6. Step 6: Final answer
    x = 688,503.47

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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.