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Finding the Third Proportional to 229,212 and 487,989

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Solution

The third proportional to 229,212 and 487,989 is: 1,038,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,212 : 487,989 = 487,989 : x
  2. Step 2: Convert to fraction form
    229,212/487,989 = 487,989/x
  3. Step 3: Cross multiply
    229,212x = 487,989 × 487,989
  4. Step 4: Simplify right side
    229,212x = 238,133,264,121
  5. Step 5: Solve for x
    x = 238,133,264,121/229,212
  6. Step 6: Final answer
    x = 1,038,921.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.