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Finding the Third Proportional to 578,886 and 1,240,842

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Solution

The third proportional to 578,886 and 1,240,842 is: 2,659,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,886 : 1,240,842 = 1,240,842 : x
  2. Step 2: Convert to fraction form
    578,886/1,240,842 = 1,240,842/x
  3. Step 3: Cross multiply
    578,886x = 1,240,842 × 1,240,842
  4. Step 4: Simplify right side
    578,886x = 1,539,688,868,964
  5. Step 5: Solve for x
    x = 1,539,688,868,964/578,886
  6. Step 6: Final answer
    x = 2,659,744.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.