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Finding the Third Proportional to 644,160 and 947,296

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Solution

The third proportional to 644,160 and 947,296 is: 1,393,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,160 : 947,296 = 947,296 : x
  2. Step 2: Convert to fraction form
    644,160/947,296 = 947,296/x
  3. Step 3: Cross multiply
    644,160x = 947,296 × 947,296
  4. Step 4: Simplify right side
    644,160x = 897,369,711,616
  5. Step 5: Solve for x
    x = 897,369,711,616/644,160
  6. Step 6: Final answer
    x = 1,393,085.12

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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.