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Finding the Third Proportional to 142,946 and 322,319

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Solution

The third proportional to 142,946 and 322,319 is: 726,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,946 : 322,319 = 322,319 : x
  2. Step 2: Convert to fraction form
    142,946/322,319 = 322,319/x
  3. Step 3: Cross multiply
    142,946x = 322,319 × 322,319
  4. Step 4: Simplify right side
    142,946x = 103,889,537,761
  5. Step 5: Solve for x
    x = 103,889,537,761/142,946
  6. Step 6: Final answer
    x = 726,774.71

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.