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Finding the Third Proportional to 201,207 and 426,403.50

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Solution

The third proportional to 201,207 and 426,403.50 is: 903,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,207 : 426,403.50 = 426,403.50 : x
  2. Step 2: Convert to fraction form
    201,207/426,403.50 = 426,403.50/x
  3. Step 3: Cross multiply
    201,207x = 426,403.50 × 426,403.50
  4. Step 4: Simplify right side
    201,207x = 181,819,944,812.25
  5. Step 5: Solve for x
    x = 181,819,944,812.25/201,207
  6. Step 6: Final answer
    x = 903,646.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.