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Finding the Third Proportional to 210,986 and 301,495

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Solution

The third proportional to 210,986 and 301,495 is: 430,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,986 : 301,495 = 301,495 : x
  2. Step 2: Convert to fraction form
    210,986/301,495 = 301,495/x
  3. Step 3: Cross multiply
    210,986x = 301,495 × 301,495
  4. Step 4: Simplify right side
    210,986x = 90,899,235,025
  5. Step 5: Solve for x
    x = 90,899,235,025/210,986
  6. Step 6: Final answer
    x = 430,830.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.