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Finding the Third Proportional to 292,999.50 and 621,969

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Solution

The third proportional to 292,999.50 and 621,969 is: 1,320,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,999.50 : 621,969 = 621,969 : x
  2. Step 2: Convert to fraction form
    292,999.50/621,969 = 621,969/x
  3. Step 3: Cross multiply
    292,999.50x = 621,969 × 621,969
  4. Step 4: Simplify right side
    292,999.50x = 386,845,436,961
  5. Step 5: Solve for x
    x = 386,845,436,961/292,999.50
  6. Step 6: Final answer
    x = 1,320,293.85

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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.