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Finding the Third Proportional to 91,388 and 200,430.50

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Solution

The third proportional to 91,388 and 200,430.50 is: 439,580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,388 : 200,430.50 = 200,430.50 : x
  2. Step 2: Convert to fraction form
    91,388/200,430.50 = 200,430.50/x
  3. Step 3: Cross multiply
    91,388x = 200,430.50 × 200,430.50
  4. Step 4: Simplify right side
    91,388x = 40,172,385,330.25
  5. Step 5: Solve for x
    x = 40,172,385,330.25/91,388
  6. Step 6: Final answer
    x = 439,580.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.