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Finding the Third Proportional to 312,026 and 670,731

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Solution

The third proportional to 312,026 and 670,731 is: 1,441,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,026 : 670,731 = 670,731 : x
  2. Step 2: Convert to fraction form
    312,026/670,731 = 670,731/x
  3. Step 3: Cross multiply
    312,026x = 670,731 × 670,731
  4. Step 4: Simplify right side
    312,026x = 449,880,074,361
  5. Step 5: Solve for x
    x = 449,880,074,361/312,026
  6. Step 6: Final answer
    x = 1,441,803.16

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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.