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Finding the Third Proportional to 403,700 and 626,878

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Solution

The third proportional to 403,700 and 626,878 is: 973,435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,700 : 626,878 = 626,878 : x
  2. Step 2: Convert to fraction form
    403,700/626,878 = 626,878/x
  3. Step 3: Cross multiply
    403,700x = 626,878 × 626,878
  4. Step 4: Simplify right side
    403,700x = 392,976,026,884
  5. Step 5: Solve for x
    x = 392,976,026,884/403,700
  6. Step 6: Final answer
    x = 973,435.79

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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.