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Finding the Third Proportional to 289,623 and 429,921

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Solution

The third proportional to 289,623 and 429,921 is: 638,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,623 : 429,921 = 429,921 : x
  2. Step 2: Convert to fraction form
    289,623/429,921 = 429,921/x
  3. Step 3: Cross multiply
    289,623x = 429,921 × 429,921
  4. Step 4: Simplify right side
    289,623x = 184,832,066,241
  5. Step 5: Solve for x
    x = 184,832,066,241/289,623
  6. Step 6: Final answer
    x = 638,181.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.