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Finding the Third Proportional to 315,854 and 463,989

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Solution

The third proportional to 315,854 and 463,989 is: 681,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,854 : 463,989 = 463,989 : x
  2. Step 2: Convert to fraction form
    315,854/463,989 = 463,989/x
  3. Step 3: Cross multiply
    315,854x = 463,989 × 463,989
  4. Step 4: Simplify right side
    315,854x = 215,285,792,121
  5. Step 5: Solve for x
    x = 215,285,792,121/315,854
  6. Step 6: Final answer
    x = 681,599.07

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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.