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Finding the Third Proportional to 354,780 and 535,842

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Solution

The third proportional to 354,780 and 535,842 is: 809,309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,780 : 535,842 = 535,842 : x
  2. Step 2: Convert to fraction form
    354,780/535,842 = 535,842/x
  3. Step 3: Cross multiply
    354,780x = 535,842 × 535,842
  4. Step 4: Simplify right side
    354,780x = 287,126,648,964
  5. Step 5: Solve for x
    x = 287,126,648,964/354,780
  6. Step 6: Final answer
    x = 809,309.01

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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.