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Finding the Third Proportional to 307,131 and 670,998

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Solution

The third proportional to 307,131 and 670,998 is: 1,465,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,131 : 670,998 = 670,998 : x
  2. Step 2: Convert to fraction form
    307,131/670,998 = 670,998/x
  3. Step 3: Cross multiply
    307,131x = 670,998 × 670,998
  4. Step 4: Simplify right side
    307,131x = 450,238,316,004
  5. Step 5: Solve for x
    x = 450,238,316,004/307,131
  6. Step 6: Final answer
    x = 1,465,948.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.