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Finding the Third Proportional to 620,747 and 991,793

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Solution

The third proportional to 620,747 and 991,793 is: 1,584,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,747 : 991,793 = 991,793 : x
  2. Step 2: Convert to fraction form
    620,747/991,793 = 991,793/x
  3. Step 3: Cross multiply
    620,747x = 991,793 × 991,793
  4. Step 4: Simplify right side
    620,747x = 983,653,354,849
  5. Step 5: Solve for x
    x = 983,653,354,849/620,747
  6. Step 6: Final answer
    x = 1,584,628.45

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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.