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Finding the Third Proportional to 436,784 and 678,502

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Solution

The third proportional to 436,784 and 678,502 is: 1,053,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,784 : 678,502 = 678,502 : x
  2. Step 2: Convert to fraction form
    436,784/678,502 = 678,502/x
  3. Step 3: Cross multiply
    436,784x = 678,502 × 678,502
  4. Step 4: Simplify right side
    436,784x = 460,364,964,004
  5. Step 5: Solve for x
    x = 460,364,964,004/436,784
  6. Step 6: Final answer
    x = 1,053,987.70

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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.