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Finding the Third Proportional to 640,008 and 991,224

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Solution

The third proportional to 640,008 and 991,224 is: 1,535,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,008 : 991,224 = 991,224 : x
  2. Step 2: Convert to fraction form
    640,008/991,224 = 991,224/x
  3. Step 3: Cross multiply
    640,008x = 991,224 × 991,224
  4. Step 4: Simplify right side
    640,008x = 982,525,018,176
  5. Step 5: Solve for x
    x = 982,525,018,176/640,008
  6. Step 6: Final answer
    x = 1,535,176.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.