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Finding the Third Proportional to 508,348 and 677,718

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Solution

The third proportional to 508,348 and 677,718 is: 903,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,348 : 677,718 = 677,718 : x
  2. Step 2: Convert to fraction form
    508,348/677,718 = 677,718/x
  3. Step 3: Cross multiply
    508,348x = 677,718 × 677,718
  4. Step 4: Simplify right side
    508,348x = 459,301,687,524
  5. Step 5: Solve for x
    x = 459,301,687,524/508,348
  6. Step 6: Final answer
    x = 903,518.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.