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Finding the Third Proportional to 472,821 and 709,719

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Solution

The third proportional to 472,821 and 709,719 is: 1,065,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,821 : 709,719 = 709,719 : x
  2. Step 2: Convert to fraction form
    472,821/709,719 = 709,719/x
  3. Step 3: Cross multiply
    472,821x = 709,719 × 709,719
  4. Step 4: Simplify right side
    472,821x = 503,701,058,961
  5. Step 5: Solve for x
    x = 503,701,058,961/472,821
  6. Step 6: Final answer
    x = 1,065,310.25

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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.