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Finding the Third Proportional to 292,139 and 613,795

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Solution

The third proportional to 292,139 and 613,795 is: 1,289,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,139 : 613,795 = 613,795 : x
  2. Step 2: Convert to fraction form
    292,139/613,795 = 613,795/x
  3. Step 3: Cross multiply
    292,139x = 613,795 × 613,795
  4. Step 4: Simplify right side
    292,139x = 376,744,302,025
  5. Step 5: Solve for x
    x = 376,744,302,025/292,139
  6. Step 6: Final answer
    x = 1,289,606.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.