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Finding the Third Proportional to 418,346 and 640,083

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Solution

The third proportional to 418,346 and 640,083 is: 979,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,346 : 640,083 = 640,083 : x
  2. Step 2: Convert to fraction form
    418,346/640,083 = 640,083/x
  3. Step 3: Cross multiply
    418,346x = 640,083 × 640,083
  4. Step 4: Simplify right side
    418,346x = 409,706,246,889
  5. Step 5: Solve for x
    x = 409,706,246,889/418,346
  6. Step 6: Final answer
    x = 979,347.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.