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Finding the Third Proportional to 134,973 and 312,471

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Solution

The third proportional to 134,973 and 312,471 is: 723,390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,973 : 312,471 = 312,471 : x
  2. Step 2: Convert to fraction form
    134,973/312,471 = 312,471/x
  3. Step 3: Cross multiply
    134,973x = 312,471 × 312,471
  4. Step 4: Simplify right side
    134,973x = 97,638,125,841
  5. Step 5: Solve for x
    x = 97,638,125,841/134,973
  6. Step 6: Final answer
    x = 723,390.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.