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Finding the Third Proportional to 456,504 and 686,136

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Solution

The third proportional to 456,504 and 686,136 is: 1,031,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,504 : 686,136 = 686,136 : x
  2. Step 2: Convert to fraction form
    456,504/686,136 = 686,136/x
  3. Step 3: Cross multiply
    456,504x = 686,136 × 686,136
  4. Step 4: Simplify right side
    456,504x = 470,782,610,496
  5. Step 5: Solve for x
    x = 470,782,610,496/456,504
  6. Step 6: Final answer
    x = 1,031,278.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.