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Finding the Third Proportional to 145,925 and 319,529

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Solution

The third proportional to 145,925 and 319,529 is: 699,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,925 : 319,529 = 319,529 : x
  2. Step 2: Convert to fraction form
    145,925/319,529 = 319,529/x
  3. Step 3: Cross multiply
    145,925x = 319,529 × 319,529
  4. Step 4: Simplify right side
    145,925x = 102,098,781,841
  5. Step 5: Solve for x
    x = 102,098,781,841/145,925
  6. Step 6: Final answer
    x = 699,666.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.