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Finding the Third Proportional to 103,316 and 151,435

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Solution

The third proportional to 103,316 and 151,435 is: 221,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,316 : 151,435 = 151,435 : x
  2. Step 2: Convert to fraction form
    103,316/151,435 = 151,435/x
  3. Step 3: Cross multiply
    103,316x = 151,435 × 151,435
  4. Step 4: Simplify right side
    103,316x = 22,932,559,225
  5. Step 5: Solve for x
    x = 22,932,559,225/103,316
  6. Step 6: Final answer
    x = 221,965.23

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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.