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Finding the Third Proportional to 257,726 and 387,066

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Solution

The third proportional to 257,726 and 387,066 is: 581,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,726 : 387,066 = 387,066 : x
  2. Step 2: Convert to fraction form
    257,726/387,066 = 387,066/x
  3. Step 3: Cross multiply
    257,726x = 387,066 × 387,066
  4. Step 4: Simplify right side
    257,726x = 149,820,088,356
  5. Step 5: Solve for x
    x = 149,820,088,356/257,726
  6. Step 6: Final answer
    x = 581,315.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.