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Finding the Third Proportional to 314,652 and 471,888

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Solution

The third proportional to 314,652 and 471,888 is: 707,697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,652 : 471,888 = 471,888 : x
  2. Step 2: Convert to fraction form
    314,652/471,888 = 471,888/x
  3. Step 3: Cross multiply
    314,652x = 471,888 × 471,888
  4. Step 4: Simplify right side
    314,652x = 222,678,284,544
  5. Step 5: Solve for x
    x = 222,678,284,544/314,652
  6. Step 6: Final answer
    x = 707,697.03

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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.