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Finding the Third Proportional to 457,809.75 and 697,376.25

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Solution

The third proportional to 457,809.75 and 697,376.25 is: 1,062,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,809.75 : 697,376.25 = 697,376.25 : x
  2. Step 2: Convert to fraction form
    457,809.75/697,376.25 = 697,376.25/x
  3. Step 3: Cross multiply
    457,809.75x = 697,376.25 × 697,376.25
  4. Step 4: Simplify right side
    457,809.75x = 486,333,634,064.06
  5. Step 5: Solve for x
    x = 486,333,634,064.06/457,809.75
  6. Step 6: Final answer
    x = 1,062,305.10

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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.