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Finding the Third Proportional to 280,786 and 662,842

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Solution

The third proportional to 280,786 and 662,842 is: 1,564,748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,786 : 662,842 = 662,842 : x
  2. Step 2: Convert to fraction form
    280,786/662,842 = 662,842/x
  3. Step 3: Cross multiply
    280,786x = 662,842 × 662,842
  4. Step 4: Simplify right side
    280,786x = 439,359,516,964
  5. Step 5: Solve for x
    x = 439,359,516,964/280,786
  6. Step 6: Final answer
    x = 1,564,748.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.