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Finding the Third Proportional to 516,066 and 781,875

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Solution

The third proportional to 516,066 and 781,875 is: 1,184,593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,066 : 781,875 = 781,875 : x
  2. Step 2: Convert to fraction form
    516,066/781,875 = 781,875/x
  3. Step 3: Cross multiply
    516,066x = 781,875 × 781,875
  4. Step 4: Simplify right side
    516,066x = 611,328,515,625
  5. Step 5: Solve for x
    x = 611,328,515,625/516,066
  6. Step 6: Final answer
    x = 1,184,593.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.