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Finding the Third Proportional to 457,822 and 697,385

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Solution

The third proportional to 457,822 and 697,385 is: 1,062,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,822 : 697,385 = 697,385 : x
  2. Step 2: Convert to fraction form
    457,822/697,385 = 697,385/x
  3. Step 3: Cross multiply
    457,822x = 697,385 × 697,385
  4. Step 4: Simplify right side
    457,822x = 486,345,838,225
  5. Step 5: Solve for x
    x = 486,345,838,225/457,822
  6. Step 6: Final answer
    x = 1,062,303.34

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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.