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Finding the Third Proportional to 328,690 and 469,707

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Solution

The third proportional to 328,690 and 469,707 is: 671,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,690 : 469,707 = 469,707 : x
  2. Step 2: Convert to fraction form
    328,690/469,707 = 469,707/x
  3. Step 3: Cross multiply
    328,690x = 469,707 × 469,707
  4. Step 4: Simplify right side
    328,690x = 220,624,665,849
  5. Step 5: Solve for x
    x = 220,624,665,849/328,690
  6. Step 6: Final answer
    x = 671,224.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.