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Finding the Third Proportional to 556,641 and 1,214,370

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Solution

The third proportional to 556,641 and 1,214,370 is: 2,649,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,641 : 1,214,370 = 1,214,370 : x
  2. Step 2: Convert to fraction form
    556,641/1,214,370 = 1,214,370/x
  3. Step 3: Cross multiply
    556,641x = 1,214,370 × 1,214,370
  4. Step 4: Simplify right side
    556,641x = 1,474,694,496,900
  5. Step 5: Solve for x
    x = 1,474,694,496,900/556,641
  6. Step 6: Final answer
    x = 2,649,273.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.