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Finding the Third Proportional to 438,175 and 693,246

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Solution

The third proportional to 438,175 and 693,246 is: 1,096,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,175 : 693,246 = 693,246 : x
  2. Step 2: Convert to fraction form
    438,175/693,246 = 693,246/x
  3. Step 3: Cross multiply
    438,175x = 693,246 × 693,246
  4. Step 4: Simplify right side
    438,175x = 480,590,016,516
  5. Step 5: Solve for x
    x = 480,590,016,516/438,175
  6. Step 6: Final answer
    x = 1,096,799.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.