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Finding the Third Proportional to 312,824 and 686,558

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Solution

The third proportional to 312,824 and 686,558 is: 1,506,795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,824 : 686,558 = 686,558 : x
  2. Step 2: Convert to fraction form
    312,824/686,558 = 686,558/x
  3. Step 3: Cross multiply
    312,824x = 686,558 × 686,558
  4. Step 4: Simplify right side
    312,824x = 471,361,887,364
  5. Step 5: Solve for x
    x = 471,361,887,364/312,824
  6. Step 6: Final answer
    x = 1,506,795.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.