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Finding the Third Proportional to 445,041 and 690,363

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Solution

The third proportional to 445,041 and 690,363 is: 1,070,914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,041 : 690,363 = 690,363 : x
  2. Step 2: Convert to fraction form
    445,041/690,363 = 690,363/x
  3. Step 3: Cross multiply
    445,041x = 690,363 × 690,363
  4. Step 4: Simplify right side
    445,041x = 476,601,071,769
  5. Step 5: Solve for x
    x = 476,601,071,769/445,041
  6. Step 6: Final answer
    x = 1,070,914.98

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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.