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Finding the Third Proportional to 292,986 and 621,960

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Solution

The third proportional to 292,986 and 621,960 is: 1,320,316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,986 : 621,960 = 621,960 : x
  2. Step 2: Convert to fraction form
    292,986/621,960 = 621,960/x
  3. Step 3: Cross multiply
    292,986x = 621,960 × 621,960
  4. Step 4: Simplify right side
    292,986x = 386,834,241,600
  5. Step 5: Solve for x
    x = 386,834,241,600/292,986
  6. Step 6: Final answer
    x = 1,320,316.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.