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Finding the Third Proportional to 456,042 and 999,645

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Solution

The third proportional to 456,042 and 999,645 is: 2,191,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,042 : 999,645 = 999,645 : x
  2. Step 2: Convert to fraction form
    456,042/999,645 = 999,645/x
  3. Step 3: Cross multiply
    456,042x = 999,645 × 999,645
  4. Step 4: Simplify right side
    456,042x = 999,290,126,025
  5. Step 5: Solve for x
    x = 999,290,126,025/456,042
  6. Step 6: Final answer
    x = 2,191,223.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.