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Finding the Third Proportional to 640,152 and 991,143

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Solution

The third proportional to 640,152 and 991,143 is: 1,534,579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,152 : 991,143 = 991,143 : x
  2. Step 2: Convert to fraction form
    640,152/991,143 = 991,143/x
  3. Step 3: Cross multiply
    640,152x = 991,143 × 991,143
  4. Step 4: Simplify right side
    640,152x = 982,364,446,449
  5. Step 5: Solve for x
    x = 982,364,446,449/640,152
  6. Step 6: Final answer
    x = 1,534,579.98

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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.