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Finding the Third Proportional to 476,619 and 698,889

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Solution

The third proportional to 476,619 and 698,889 is: 1,024,814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,619 : 698,889 = 698,889 : x
  2. Step 2: Convert to fraction form
    476,619/698,889 = 698,889/x
  3. Step 3: Cross multiply
    476,619x = 698,889 × 698,889
  4. Step 4: Simplify right side
    476,619x = 488,445,834,321
  5. Step 5: Solve for x
    x = 488,445,834,321/476,619
  6. Step 6: Final answer
    x = 1,024,814.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.