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Finding the Third Proportional to 586,278 and 1,284,780

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Solution

The third proportional to 586,278 and 1,284,780 is: 2,815,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,278 : 1,284,780 = 1,284,780 : x
  2. Step 2: Convert to fraction form
    586,278/1,284,780 = 1,284,780/x
  3. Step 3: Cross multiply
    586,278x = 1,284,780 × 1,284,780
  4. Step 4: Simplify right side
    586,278x = 1,650,659,648,400
  5. Step 5: Solve for x
    x = 1,650,659,648,400/586,278
  6. Step 6: Final answer
    x = 2,815,489.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.