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Finding the Third Proportional to 438,868 and 588,318

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Solution

The third proportional to 438,868 and 588,318 is: 788,660.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,868 : 588,318 = 588,318 : x
  2. Step 2: Convert to fraction form
    438,868/588,318 = 588,318/x
  3. Step 3: Cross multiply
    438,868x = 588,318 × 588,318
  4. Step 4: Simplify right side
    438,868x = 346,118,069,124
  5. Step 5: Solve for x
    x = 346,118,069,124/438,868
  6. Step 6: Final answer
    x = 788,660.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.