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Finding the Third Proportional to 307,574 and 661,128

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Solution

The third proportional to 307,574 and 661,128 is: 1,421,089.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,574 : 661,128 = 661,128 : x
  2. Step 2: Convert to fraction form
    307,574/661,128 = 661,128/x
  3. Step 3: Cross multiply
    307,574x = 661,128 × 661,128
  4. Step 4: Simplify right side
    307,574x = 437,090,232,384
  5. Step 5: Solve for x
    x = 437,090,232,384/307,574
  6. Step 6: Final answer
    x = 1,421,089.66

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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.