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Finding the Third Proportional to 137,966 and 302,428

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Solution

The third proportional to 137,966 and 302,428 is: 662,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,966 : 302,428 = 302,428 : x
  2. Step 2: Convert to fraction form
    137,966/302,428 = 302,428/x
  3. Step 3: Cross multiply
    137,966x = 302,428 × 302,428
  4. Step 4: Simplify right side
    137,966x = 91,462,695,184
  5. Step 5: Solve for x
    x = 91,462,695,184/137,966
  6. Step 6: Final answer
    x = 662,936.49

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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.