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Finding the Third Proportional to 435,080 and 668,940

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Solution

The third proportional to 435,080 and 668,940 is: 1,028,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,080 : 668,940 = 668,940 : x
  2. Step 2: Convert to fraction form
    435,080/668,940 = 668,940/x
  3. Step 3: Cross multiply
    435,080x = 668,940 × 668,940
  4. Step 4: Simplify right side
    435,080x = 447,480,723,600
  5. Step 5: Solve for x
    x = 447,480,723,600/435,080
  6. Step 6: Final answer
    x = 1,028,502.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.