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Finding the Third Proportional to 438,864 and 588,312

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Solution

The third proportional to 438,864 and 588,312 is: 788,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,864 : 588,312 = 588,312 : x
  2. Step 2: Convert to fraction form
    438,864/588,312 = 588,312/x
  3. Step 3: Cross multiply
    438,864x = 588,312 × 588,312
  4. Step 4: Simplify right side
    438,864x = 346,111,009,344
  5. Step 5: Solve for x
    x = 346,111,009,344/438,864
  6. Step 6: Final answer
    x = 788,652.09

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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.