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Finding the Third Proportional to 669,356 and 1,019,721

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Solution

The third proportional to 669,356 and 1,019,721 is: 1,553,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,356 : 1,019,721 = 1,019,721 : x
  2. Step 2: Convert to fraction form
    669,356/1,019,721 = 1,019,721/x
  3. Step 3: Cross multiply
    669,356x = 1,019,721 × 1,019,721
  4. Step 4: Simplify right side
    669,356x = 1,039,830,917,841
  5. Step 5: Solve for x
    x = 1,039,830,917,841/669,356
  6. Step 6: Final answer
    x = 1,553,479.64

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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.