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Finding the Third Proportional to 105,507 and 151,135

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Solution

The third proportional to 105,507 and 151,135 is: 216,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,507 : 151,135 = 151,135 : x
  2. Step 2: Convert to fraction form
    105,507/151,135 = 151,135/x
  3. Step 3: Cross multiply
    105,507x = 151,135 × 151,135
  4. Step 4: Simplify right side
    105,507x = 22,841,788,225
  5. Step 5: Solve for x
    x = 22,841,788,225/105,507
  6. Step 6: Final answer
    x = 216,495.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.