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Finding the Third Proportional to 202,365 and 296,986

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Solution

The third proportional to 202,365 and 296,986 is: 435,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,365 : 296,986 = 296,986 : x
  2. Step 2: Convert to fraction form
    202,365/296,986 = 296,986/x
  3. Step 3: Cross multiply
    202,365x = 296,986 × 296,986
  4. Step 4: Simplify right side
    202,365x = 88,200,684,196
  5. Step 5: Solve for x
    x = 88,200,684,196/202,365
  6. Step 6: Final answer
    x = 435,849.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.