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Finding the Third Proportional to 329,232 and 721,377

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Solution

The third proportional to 329,232 and 721,377 is: 1,580,602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,232 : 721,377 = 721,377 : x
  2. Step 2: Convert to fraction form
    329,232/721,377 = 721,377/x
  3. Step 3: Cross multiply
    329,232x = 721,377 × 721,377
  4. Step 4: Simplify right side
    329,232x = 520,384,776,129
  5. Step 5: Solve for x
    x = 520,384,776,129/329,232
  6. Step 6: Final answer
    x = 1,580,602.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.