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Finding the Third Proportional to 508,344 and 677,712

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Solution

The third proportional to 508,344 and 677,712 is: 903,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,344 : 677,712 = 677,712 : x
  2. Step 2: Convert to fraction form
    508,344/677,712 = 677,712/x
  3. Step 3: Cross multiply
    508,344x = 677,712 × 677,712
  4. Step 4: Simplify right side
    508,344x = 459,293,554,944
  5. Step 5: Solve for x
    x = 459,293,554,944/508,344
  6. Step 6: Final answer
    x = 903,509.35

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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.