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Finding the Third Proportional to 223,440 and 487,047

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Solution

The third proportional to 223,440 and 487,047 is: 1,061,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,440 : 487,047 = 487,047 : x
  2. Step 2: Convert to fraction form
    223,440/487,047 = 487,047/x
  3. Step 3: Cross multiply
    223,440x = 487,047 × 487,047
  4. Step 4: Simplify right side
    223,440x = 237,214,780,209
  5. Step 5: Solve for x
    x = 237,214,780,209/223,440
  6. Step 6: Final answer
    x = 1,061,648.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.