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Finding the Third Proportional to 145,185 and 312,613

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Solution

The third proportional to 145,185 and 312,613 is: 673,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,185 : 312,613 = 312,613 : x
  2. Step 2: Convert to fraction form
    145,185/312,613 = 312,613/x
  3. Step 3: Cross multiply
    145,185x = 312,613 × 312,613
  4. Step 4: Simplify right side
    145,185x = 97,726,887,769
  5. Step 5: Solve for x
    x = 97,726,887,769/145,185
  6. Step 6: Final answer
    x = 673,119.73

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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.