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Finding the Third Proportional to 602,853 and 820,989

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Solution

The third proportional to 602,853 and 820,989 is: 1,118,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,853 : 820,989 = 820,989 : x
  2. Step 2: Convert to fraction form
    602,853/820,989 = 820,989/x
  3. Step 3: Cross multiply
    602,853x = 820,989 × 820,989
  4. Step 4: Simplify right side
    602,853x = 674,022,938,121
  5. Step 5: Solve for x
    x = 674,022,938,121/602,853
  6. Step 6: Final answer
    x = 1,118,055.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.