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Finding the Third Proportional to 645,619 and 947,693

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Solution

The third proportional to 645,619 and 947,693 is: 1,391,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,619 : 947,693 = 947,693 : x
  2. Step 2: Convert to fraction form
    645,619/947,693 = 947,693/x
  3. Step 3: Cross multiply
    645,619x = 947,693 × 947,693
  4. Step 4: Simplify right side
    645,619x = 898,122,022,249
  5. Step 5: Solve for x
    x = 898,122,022,249/645,619
  6. Step 6: Final answer
    x = 1,391,102.22

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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.