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Finding the Third Proportional to 320,934.66 and 677,683.13

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Solution

The third proportional to 320,934.66 and 677,683.13 is: 1,430,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,934.66 : 677,683.13 = 677,683.13 : x
  2. Step 2: Convert to fraction form
    320,934.66/677,683.13 = 677,683.13/x
  3. Step 3: Cross multiply
    320,934.66x = 677,683.13 × 677,683.13
  4. Step 4: Simplify right side
    320,934.66x = 459,254,417,909.77
  5. Step 5: Solve for x
    x = 459,254,417,909.77/320,934.66
  6. Step 6: Final answer
    x = 1,430,990.42

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.