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Finding the Third Proportional to 418,610.25 and 668,307.38

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Solution

The third proportional to 418,610.25 and 668,307.38 is: 1,066,946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,610.25 : 668,307.38 = 668,307.38 : x
  2. Step 2: Convert to fraction form
    418,610.25/668,307.38 = 668,307.38/x
  3. Step 3: Cross multiply
    418,610.25x = 668,307.38 × 668,307.38
  4. Step 4: Simplify right side
    418,610.25x = 446,634,747,479.39
  5. Step 5: Solve for x
    x = 446,634,747,479.39/418,610.25
  6. Step 6: Final answer
    x = 1,066,946.52

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.