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Finding the Third Proportional to 384,313 and 547,462

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Solution

The third proportional to 384,313 and 547,462 is: 779,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,313 : 547,462 = 547,462 : x
  2. Step 2: Convert to fraction form
    384,313/547,462 = 547,462/x
  3. Step 3: Cross multiply
    384,313x = 547,462 × 547,462
  4. Step 4: Simplify right side
    384,313x = 299,714,641,444
  5. Step 5: Solve for x
    x = 299,714,641,444/384,313
  6. Step 6: Final answer
    x = 779,871.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.