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Finding the Third Proportional to 456,078 and 715,437

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Solution

The third proportional to 456,078 and 715,437 is: 1,122,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,078 : 715,437 = 715,437 : x
  2. Step 2: Convert to fraction form
    456,078/715,437 = 715,437/x
  3. Step 3: Cross multiply
    456,078x = 715,437 × 715,437
  4. Step 4: Simplify right side
    456,078x = 511,850,100,969
  5. Step 5: Solve for x
    x = 511,850,100,969/456,078
  6. Step 6: Final answer
    x = 1,122,286.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.