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Finding the Third Proportional to 145,990 and 314,486

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Solution

The third proportional to 145,990 and 314,486 is: 677,453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,990 : 314,486 = 314,486 : x
  2. Step 2: Convert to fraction form
    145,990/314,486 = 314,486/x
  3. Step 3: Cross multiply
    145,990x = 314,486 × 314,486
  4. Step 4: Simplify right side
    145,990x = 98,901,444,196
  5. Step 5: Solve for x
    x = 98,901,444,196/145,990
  6. Step 6: Final answer
    x = 677,453.55

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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.