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Finding the Third Proportional to 392,464 and 853,664

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Solution

The third proportional to 392,464 and 853,664 is: 1,856,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,464 : 853,664 = 853,664 : x
  2. Step 2: Convert to fraction form
    392,464/853,664 = 853,664/x
  3. Step 3: Cross multiply
    392,464x = 853,664 × 853,664
  4. Step 4: Simplify right side
    392,464x = 728,742,224,896
  5. Step 5: Solve for x
    x = 728,742,224,896/392,464
  6. Step 6: Final answer
    x = 1,856,838.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.