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Finding the Third Proportional to 450,156 and 680,058

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Solution

The third proportional to 450,156 and 680,058 is: 1,027,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,156 : 680,058 = 680,058 : x
  2. Step 2: Convert to fraction form
    450,156/680,058 = 680,058/x
  3. Step 3: Cross multiply
    450,156x = 680,058 × 680,058
  4. Step 4: Simplify right side
    450,156x = 462,478,883,364
  5. Step 5: Solve for x
    x = 462,478,883,364/450,156
  6. Step 6: Final answer
    x = 1,027,374.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.