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Finding the Third Proportional to 307,574 and 413,859

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Solution

The third proportional to 307,574 and 413,859 is: 556,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,574 : 413,859 = 413,859 : x
  2. Step 2: Convert to fraction form
    307,574/413,859 = 413,859/x
  3. Step 3: Cross multiply
    307,574x = 413,859 × 413,859
  4. Step 4: Simplify right side
    307,574x = 171,279,271,881
  5. Step 5: Solve for x
    x = 171,279,271,881/307,574
  6. Step 6: Final answer
    x = 556,871.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.