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Finding the Third Proportional to 644,165 and 947,303

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Solution

The third proportional to 644,165 and 947,303 is: 1,393,094.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,165 : 947,303 = 947,303 : x
  2. Step 2: Convert to fraction form
    644,165/947,303 = 947,303/x
  3. Step 3: Cross multiply
    644,165x = 947,303 × 947,303
  4. Step 4: Simplify right side
    644,165x = 897,382,973,809
  5. Step 5: Solve for x
    x = 897,382,973,809/644,165
  6. Step 6: Final answer
    x = 1,393,094.90

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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.