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Finding the Third Proportional to 479,672 and 692,989

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Solution

The third proportional to 479,672 and 692,989 is: 1,001,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,672 : 692,989 = 692,989 : x
  2. Step 2: Convert to fraction form
    479,672/692,989 = 692,989/x
  3. Step 3: Cross multiply
    479,672x = 692,989 × 692,989
  4. Step 4: Simplify right side
    479,672x = 480,233,754,121
  5. Step 5: Solve for x
    x = 480,233,754,121/479,672
  6. Step 6: Final answer
    x = 1,001,171.12

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.