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Finding the Third Proportional to 663,486 and 1,000,728

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Solution

The third proportional to 663,486 and 1,000,728 is: 1,509,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,486 : 1,000,728 = 1,000,728 : x
  2. Step 2: Convert to fraction form
    663,486/1,000,728 = 1,000,728/x
  3. Step 3: Cross multiply
    663,486x = 1,000,728 × 1,000,728
  4. Step 4: Simplify right side
    663,486x = 1,001,456,529,984
  5. Step 5: Solve for x
    x = 1,001,456,529,984/663,486
  6. Step 6: Final answer
    x = 1,509,386.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.