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Finding the Third Proportional to 153,196 and 330,988

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Solution

The third proportional to 153,196 and 330,988 is: 715,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,196 : 330,988 = 330,988 : x
  2. Step 2: Convert to fraction form
    153,196/330,988 = 330,988/x
  3. Step 3: Cross multiply
    153,196x = 330,988 × 330,988
  4. Step 4: Simplify right side
    153,196x = 109,553,056,144
  5. Step 5: Solve for x
    x = 109,553,056,144/153,196
  6. Step 6: Final answer
    x = 715,116.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.