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Finding the Third Proportional to 354,720 and 535,752

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Solution

The third proportional to 354,720 and 535,752 is: 809,174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,720 : 535,752 = 535,752 : x
  2. Step 2: Convert to fraction form
    354,720/535,752 = 535,752/x
  3. Step 3: Cross multiply
    354,720x = 535,752 × 535,752
  4. Step 4: Simplify right side
    354,720x = 287,030,205,504
  5. Step 5: Solve for x
    x = 287,030,205,504/354,720
  6. Step 6: Final answer
    x = 809,174.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.