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Finding the Third Proportional to 418,347 and 640,084.50

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Solution

The third proportional to 418,347 and 640,084.50 is: 979,350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,347 : 640,084.50 = 640,084.50 : x
  2. Step 2: Convert to fraction form
    418,347/640,084.50 = 640,084.50/x
  3. Step 3: Cross multiply
    418,347x = 640,084.50 × 640,084.50
  4. Step 4: Simplify right side
    418,347x = 409,708,167,140.25
  5. Step 5: Solve for x
    x = 409,708,167,140.25/418,347
  6. Step 6: Final answer
    x = 979,350.08

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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.