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Finding the Third Proportional to 115,426 and 180,428

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Solution

The third proportional to 115,426 and 180,428 is: 282,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,426 : 180,428 = 180,428 : x
  2. Step 2: Convert to fraction form
    115,426/180,428 = 180,428/x
  3. Step 3: Cross multiply
    115,426x = 180,428 × 180,428
  4. Step 4: Simplify right side
    115,426x = 32,554,263,184
  5. Step 5: Solve for x
    x = 32,554,263,184/115,426
  6. Step 6: Final answer
    x = 282,035.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.