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Finding the Third Proportional to 452,728 and 688,928

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Solution

The third proportional to 452,728 and 688,928 is: 1,048,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,728 : 688,928 = 688,928 : x
  2. Step 2: Convert to fraction form
    452,728/688,928 = 688,928/x
  3. Step 3: Cross multiply
    452,728x = 688,928 × 688,928
  4. Step 4: Simplify right side
    452,728x = 474,621,789,184
  5. Step 5: Solve for x
    x = 474,621,789,184/452,728
  6. Step 6: Final answer
    x = 1,048,359.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.