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Finding the Third Proportional to 588,390 and 909,212

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Solution

The third proportional to 588,390 and 909,212 is: 1,404,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,390 : 909,212 = 909,212 : x
  2. Step 2: Convert to fraction form
    588,390/909,212 = 909,212/x
  3. Step 3: Cross multiply
    588,390x = 909,212 × 909,212
  4. Step 4: Simplify right side
    588,390x = 826,666,460,944
  5. Step 5: Solve for x
    x = 826,666,460,944/588,390
  6. Step 6: Final answer
    x = 1,404,963.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.