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Finding the Third Proportional to 472,845 and 709,740

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Solution

The third proportional to 472,845 and 709,740 is: 1,065,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,845 : 709,740 = 709,740 : x
  2. Step 2: Convert to fraction form
    472,845/709,740 = 709,740/x
  3. Step 3: Cross multiply
    472,845x = 709,740 × 709,740
  4. Step 4: Simplify right side
    472,845x = 503,730,867,600
  5. Step 5: Solve for x
    x = 503,730,867,600/472,845
  6. Step 6: Final answer
    x = 1,065,319.22

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