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Finding the Third Proportional to 422,152 and 668,440

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Solution

The third proportional to 422,152 and 668,440 is: 1,058,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,152 : 668,440 = 668,440 : x
  2. Step 2: Convert to fraction form
    422,152/668,440 = 668,440/x
  3. Step 3: Cross multiply
    422,152x = 668,440 × 668,440
  4. Step 4: Simplify right side
    422,152x = 446,812,033,600
  5. Step 5: Solve for x
    x = 446,812,033,600/422,152
  6. Step 6: Final answer
    x = 1,058,415.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.