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Finding the Third Proportional to 429,243 and 924,909

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Solution

The third proportional to 429,243 and 924,909 is: 1,992,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,243 : 924,909 = 924,909 : x
  2. Step 2: Convert to fraction form
    429,243/924,909 = 924,909/x
  3. Step 3: Cross multiply
    429,243x = 924,909 × 924,909
  4. Step 4: Simplify right side
    429,243x = 855,456,658,281
  5. Step 5: Solve for x
    x = 855,456,658,281/429,243
  6. Step 6: Final answer
    x = 1,992,942.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.