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Finding the Third Proportional to 404,920.50 and 628,602.75

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Solution

The third proportional to 404,920.50 and 628,602.75 is: 975,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,920.50 : 628,602.75 = 628,602.75 : x
  2. Step 2: Convert to fraction form
    404,920.50/628,602.75 = 628,602.75/x
  3. Step 3: Cross multiply
    404,920.50x = 628,602.75 × 628,602.75
  4. Step 4: Simplify right side
    404,920.50x = 395,141,417,307.56
  5. Step 5: Solve for x
    x = 395,141,417,307.56/404,920.50
  6. Step 6: Final answer
    x = 975,849.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.