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Finding the Third Proportional to 455,355 and 703,563.75

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Solution

The third proportional to 455,355 and 703,563.75 is: 1,087,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,355 : 703,563.75 = 703,563.75 : x
  2. Step 2: Convert to fraction form
    455,355/703,563.75 = 703,563.75/x
  3. Step 3: Cross multiply
    455,355x = 703,563.75 × 703,563.75
  4. Step 4: Simplify right side
    455,355x = 495,001,950,314.06
  5. Step 5: Solve for x
    x = 495,001,950,314.06/455,355
  6. Step 6: Final answer
    x = 1,087,068.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.