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Finding the Third Proportional to 142,875 and 305,431

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Solution

The third proportional to 142,875 and 305,431 is: 652,935.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,875 : 305,431 = 305,431 : x
  2. Step 2: Convert to fraction form
    142,875/305,431 = 305,431/x
  3. Step 3: Cross multiply
    142,875x = 305,431 × 305,431
  4. Step 4: Simplify right side
    142,875x = 93,288,095,761
  5. Step 5: Solve for x
    x = 93,288,095,761/142,875
  6. Step 6: Final answer
    x = 652,935.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.