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Finding the Third Proportional to 310,648 and 471,740

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Solution

The third proportional to 310,648 and 471,740 is: 716,369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,648 : 471,740 = 471,740 : x
  2. Step 2: Convert to fraction form
    310,648/471,740 = 471,740/x
  3. Step 3: Cross multiply
    310,648x = 471,740 × 471,740
  4. Step 4: Simplify right side
    310,648x = 222,538,627,600
  5. Step 5: Solve for x
    x = 222,538,627,600/310,648
  6. Step 6: Final answer
    x = 716,369.10

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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.