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Finding the Third Proportional to 145,818 and 313,788

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Solution

The third proportional to 145,818 and 313,788 is: 675,245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,818 : 313,788 = 313,788 : x
  2. Step 2: Convert to fraction form
    145,818/313,788 = 313,788/x
  3. Step 3: Cross multiply
    145,818x = 313,788 × 313,788
  4. Step 4: Simplify right side
    145,818x = 98,462,908,944
  5. Step 5: Solve for x
    x = 98,462,908,944/145,818
  6. Step 6: Final answer
    x = 675,245.23

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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.