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Finding the Third Proportional to 293,452 and 643,158

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Solution

The third proportional to 293,452 and 643,158 is: 1,409,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,452 : 643,158 = 643,158 : x
  2. Step 2: Convert to fraction form
    293,452/643,158 = 643,158/x
  3. Step 3: Cross multiply
    293,452x = 643,158 × 643,158
  4. Step 4: Simplify right side
    293,452x = 413,652,212,964
  5. Step 5: Solve for x
    x = 413,652,212,964/293,452
  6. Step 6: Final answer
    x = 1,409,607.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.