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Finding the Third Proportional to 558,642 and 1,214,430

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Solution

The third proportional to 558,642 and 1,214,430 is: 2,640,045.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,642 : 1,214,430 = 1,214,430 : x
  2. Step 2: Convert to fraction form
    558,642/1,214,430 = 1,214,430/x
  3. Step 3: Cross multiply
    558,642x = 1,214,430 × 1,214,430
  4. Step 4: Simplify right side
    558,642x = 1,474,840,224,900
  5. Step 5: Solve for x
    x = 1,474,840,224,900/558,642
  6. Step 6: Final answer
    x = 2,640,045.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.