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Finding the Third Proportional to 312,417.75 and 646,989

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Solution

The third proportional to 312,417.75 and 646,989 is: 1,339,855.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,417.75 : 646,989 = 646,989 : x
  2. Step 2: Convert to fraction form
    312,417.75/646,989 = 646,989/x
  3. Step 3: Cross multiply
    312,417.75x = 646,989 × 646,989
  4. Step 4: Simplify right side
    312,417.75x = 418,594,766,121
  5. Step 5: Solve for x
    x = 418,594,766,121/312,417.75
  6. Step 6: Final answer
    x = 1,339,855.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.