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Finding the Third Proportional to 476,617 and 698,887

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Solution

The third proportional to 476,617 and 698,887 is: 1,024,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,617 : 698,887 = 698,887 : x
  2. Step 2: Convert to fraction form
    476,617/698,887 = 698,887/x
  3. Step 3: Cross multiply
    476,617x = 698,887 × 698,887
  4. Step 4: Simplify right side
    476,617x = 488,443,038,769
  5. Step 5: Solve for x
    x = 488,443,038,769/476,617
  6. Step 6: Final answer
    x = 1,024,812.46

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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.