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Finding the Third Proportional to 455,209 and 703,347

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Solution

The third proportional to 455,209 and 703,347 is: 1,086,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,209 : 703,347 = 703,347 : x
  2. Step 2: Convert to fraction form
    455,209/703,347 = 703,347/x
  3. Step 3: Cross multiply
    455,209x = 703,347 × 703,347
  4. Step 4: Simplify right side
    455,209x = 494,697,002,409
  5. Step 5: Solve for x
    x = 494,697,002,409/455,209
  6. Step 6: Final answer
    x = 1,086,746.97

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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.