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Finding the Third Proportional to 292,140 and 621,945

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Solution

The third proportional to 292,140 and 621,945 is: 1,324,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,140 : 621,945 = 621,945 : x
  2. Step 2: Convert to fraction form
    292,140/621,945 = 621,945/x
  3. Step 3: Cross multiply
    292,140x = 621,945 × 621,945
  4. Step 4: Simplify right side
    292,140x = 386,815,583,025
  5. Step 5: Solve for x
    x = 386,815,583,025/292,140
  6. Step 6: Final answer
    x = 1,324,076.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.