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Finding the Third Proportional to 403,764 and 626,964

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Solution

The third proportional to 403,764 and 626,964 is: 973,548.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,764 : 626,964 = 626,964 : x
  2. Step 2: Convert to fraction form
    403,764/626,964 = 626,964/x
  3. Step 3: Cross multiply
    403,764x = 626,964 × 626,964
  4. Step 4: Simplify right side
    403,764x = 393,083,857,296
  5. Step 5: Solve for x
    x = 393,083,857,296/403,764
  6. Step 6: Final answer
    x = 973,548.55

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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.