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Finding the Third Proportional to 438,866 and 588,315

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Solution

The third proportional to 438,866 and 588,315 is: 788,656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,866 : 588,315 = 588,315 : x
  2. Step 2: Convert to fraction form
    438,866/588,315 = 588,315/x
  3. Step 3: Cross multiply
    438,866x = 588,315 × 588,315
  4. Step 4: Simplify right side
    438,866x = 346,114,539,225
  5. Step 5: Solve for x
    x = 346,114,539,225/438,866
  6. Step 6: Final answer
    x = 788,656.54

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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.