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Finding the Third Proportional to 136,146 and 190,428

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Solution

The third proportional to 136,146 and 190,428 is: 266,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,146 : 190,428 = 190,428 : x
  2. Step 2: Convert to fraction form
    136,146/190,428 = 190,428/x
  3. Step 3: Cross multiply
    136,146x = 190,428 × 190,428
  4. Step 4: Simplify right side
    136,146x = 36,262,823,184
  5. Step 5: Solve for x
    x = 36,262,823,184/136,146
  6. Step 6: Final answer
    x = 266,352.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.