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Finding the Third Proportional to 472,693 and 688,728

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Solution

The third proportional to 472,693 and 688,728 is: 1,003,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,693 : 688,728 = 688,728 : x
  2. Step 2: Convert to fraction form
    472,693/688,728 = 688,728/x
  3. Step 3: Cross multiply
    472,693x = 688,728 × 688,728
  4. Step 4: Simplify right side
    472,693x = 474,346,257,984
  5. Step 5: Solve for x
    x = 474,346,257,984/472,693
  6. Step 6: Final answer
    x = 1,003,497.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.