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Finding the Third Proportional to 142,336 and 306,664

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Solution

The third proportional to 142,336 and 306,664 is: 660,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,336 : 306,664 = 306,664 : x
  2. Step 2: Convert to fraction form
    142,336/306,664 = 306,664/x
  3. Step 3: Cross multiply
    142,336x = 306,664 × 306,664
  4. Step 4: Simplify right side
    142,336x = 94,042,808,896
  5. Step 5: Solve for x
    x = 94,042,808,896/142,336
  6. Step 6: Final answer
    x = 660,709.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.