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Finding the Third Proportional to 427,572 and 923,664

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Solution

The third proportional to 427,572 and 923,664 is: 1,995,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,572 : 923,664 = 923,664 : x
  2. Step 2: Convert to fraction form
    427,572/923,664 = 923,664/x
  3. Step 3: Cross multiply
    427,572x = 923,664 × 923,664
  4. Step 4: Simplify right side
    427,572x = 853,155,184,896
  5. Step 5: Solve for x
    x = 853,155,184,896/427,572
  6. Step 6: Final answer
    x = 1,995,348.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.