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Finding the Third Proportional to 508,271 and 677,602

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Solution

The third proportional to 508,271 and 677,602 is: 903,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,271 : 677,602 = 677,602 : x
  2. Step 2: Convert to fraction form
    508,271/677,602 = 677,602/x
  3. Step 3: Cross multiply
    508,271x = 677,602 × 677,602
  4. Step 4: Simplify right side
    508,271x = 459,144,470,404
  5. Step 5: Solve for x
    x = 459,144,470,404/508,271
  6. Step 6: Final answer
    x = 903,345.79

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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.