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Finding the Third Proportional to 133,875 and 289,792

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Solution

The third proportional to 133,875 and 289,792 is: 627,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,875 : 289,792 = 289,792 : x
  2. Step 2: Convert to fraction form
    133,875/289,792 = 289,792/x
  3. Step 3: Cross multiply
    133,875x = 289,792 × 289,792
  4. Step 4: Simplify right side
    133,875x = 83,979,403,264
  5. Step 5: Solve for x
    x = 83,979,403,264/133,875
  6. Step 6: Final answer
    x = 627,297.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.