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Finding the Third Proportional to 201,148 and 418,830.25

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Solution

The third proportional to 201,148 and 418,830.25 is: 872,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,148 : 418,830.25 = 418,830.25 : x
  2. Step 2: Convert to fraction form
    201,148/418,830.25 = 418,830.25/x
  3. Step 3: Cross multiply
    201,148x = 418,830.25 × 418,830.25
  4. Step 4: Simplify right side
    201,148x = 175,418,778,315.06
  5. Step 5: Solve for x
    x = 175,418,778,315.06/201,148
  6. Step 6: Final answer
    x = 872,088.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.