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Finding the Third Proportional to 145,356 and 312,971

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Solution

The third proportional to 145,356 and 312,971 is: 673,868.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,356 : 312,971 = 312,971 : x
  2. Step 2: Convert to fraction form
    145,356/312,971 = 312,971/x
  3. Step 3: Cross multiply
    145,356x = 312,971 × 312,971
  4. Step 4: Simplify right side
    145,356x = 97,950,846,841
  5. Step 5: Solve for x
    x = 97,950,846,841/145,356
  6. Step 6: Final answer
    x = 673,868.62

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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.