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Finding the Third Proportional to 286,931 and 630,481

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Solution

The third proportional to 286,931 and 630,481 is: 1,385,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,931 : 630,481 = 630,481 : x
  2. Step 2: Convert to fraction form
    286,931/630,481 = 630,481/x
  3. Step 3: Cross multiply
    286,931x = 630,481 × 630,481
  4. Step 4: Simplify right side
    286,931x = 397,506,291,361
  5. Step 5: Solve for x
    x = 397,506,291,361/286,931
  6. Step 6: Final answer
    x = 1,385,372.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.