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Finding the Third Proportional to 620,762 and 991,815

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Solution

The third proportional to 620,762 and 991,815 is: 1,584,660.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,762 : 991,815 = 991,815 : x
  2. Step 2: Convert to fraction form
    620,762/991,815 = 991,815/x
  3. Step 3: Cross multiply
    620,762x = 991,815 × 991,815
  4. Step 4: Simplify right side
    620,762x = 983,696,994,225
  5. Step 5: Solve for x
    x = 983,696,994,225/620,762
  6. Step 6: Final answer
    x = 1,584,660.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.