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Finding the Third Proportional to 307,564 and 661,110

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Solution

The third proportional to 307,564 and 661,110 is: 1,421,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,564 : 661,110 = 661,110 : x
  2. Step 2: Convert to fraction form
    307,564/661,110 = 661,110/x
  3. Step 3: Cross multiply
    307,564x = 661,110 × 661,110
  4. Step 4: Simplify right side
    307,564x = 437,066,432,100
  5. Step 5: Solve for x
    x = 437,066,432,100/307,564
  6. Step 6: Final answer
    x = 1,421,058.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.