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Finding the Third Proportional to 312,026 and 670,730

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Solution

The third proportional to 312,026 and 670,730 is: 1,441,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,026 : 670,730 = 670,730 : x
  2. Step 2: Convert to fraction form
    312,026/670,730 = 670,730/x
  3. Step 3: Cross multiply
    312,026x = 670,730 × 670,730
  4. Step 4: Simplify right side
    312,026x = 449,878,732,900
  5. Step 5: Solve for x
    x = 449,878,732,900/312,026
  6. Step 6: Final answer
    x = 1,441,798.87

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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.