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Finding the Third Proportional to 145,915.88 and 319,511.81

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Solution

The third proportional to 145,915.88 and 319,511.81 is: 699,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,915.88 : 319,511.81 = 319,511.81 : x
  2. Step 2: Convert to fraction form
    145,915.88/319,511.81 = 319,511.81/x
  3. Step 3: Cross multiply
    145,915.88x = 319,511.81 × 319,511.81
  4. Step 4: Simplify right side
    145,915.88x = 102,087,798,327.04
  5. Step 5: Solve for x
    x = 102,087,798,327.04/145,915.88
  6. Step 6: Final answer
    x = 699,634.62

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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.