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Finding the Third Proportional to 638,385 and 948,533

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Solution

The third proportional to 638,385 and 948,533 is: 1,409,360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,385 : 948,533 = 948,533 : x
  2. Step 2: Convert to fraction form
    638,385/948,533 = 948,533/x
  3. Step 3: Cross multiply
    638,385x = 948,533 × 948,533
  4. Step 4: Simplify right side
    638,385x = 899,714,852,089
  5. Step 5: Solve for x
    x = 899,714,852,089/638,385
  6. Step 6: Final answer
    x = 1,409,360.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.