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Finding the Third Proportional to 163,115 and 330,841

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Solution

The third proportional to 163,115 and 330,841 is: 671,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,115 : 330,841 = 330,841 : x
  2. Step 2: Convert to fraction form
    163,115/330,841 = 330,841/x
  3. Step 3: Cross multiply
    163,115x = 330,841 × 330,841
  4. Step 4: Simplify right side
    163,115x = 109,455,767,281
  5. Step 5: Solve for x
    x = 109,455,767,281/163,115
  6. Step 6: Final answer
    x = 671,034.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.