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Finding the Third Proportional to 207,045 and 310,787

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Solution

The third proportional to 207,045 and 310,787 is: 466,509.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,045 : 310,787 = 310,787 : x
  2. Step 2: Convert to fraction form
    207,045/310,787 = 310,787/x
  3. Step 3: Cross multiply
    207,045x = 310,787 × 310,787
  4. Step 4: Simplify right side
    207,045x = 96,588,559,369
  5. Step 5: Solve for x
    x = 96,588,559,369/207,045
  6. Step 6: Final answer
    x = 466,509.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.