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Finding the Third Proportional to 620,973 and 911,007

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Solution

The third proportional to 620,973 and 911,007 is: 1,336,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,973 : 911,007 = 911,007 : x
  2. Step 2: Convert to fraction form
    620,973/911,007 = 911,007/x
  3. Step 3: Cross multiply
    620,973x = 911,007 × 911,007
  4. Step 4: Simplify right side
    620,973x = 829,933,754,049
  5. Step 5: Solve for x
    x = 829,933,754,049/620,973
  6. Step 6: Final answer
    x = 1,336,505.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.