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Finding the Third Proportional to 403,840 and 625,229

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Solution

The third proportional to 403,840 and 625,229 is: 967,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,840 : 625,229 = 625,229 : x
  2. Step 2: Convert to fraction form
    403,840/625,229 = 625,229/x
  3. Step 3: Cross multiply
    403,840x = 625,229 × 625,229
  4. Step 4: Simplify right side
    403,840x = 390,911,302,441
  5. Step 5: Solve for x
    x = 390,911,302,441/403,840
  6. Step 6: Final answer
    x = 967,985.59

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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.