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Finding the Third Proportional to 141,957 and 310,477.50

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Solution

The third proportional to 141,957 and 310,477.50 is: 679,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,957 : 310,477.50 = 310,477.50 : x
  2. Step 2: Convert to fraction form
    141,957/310,477.50 = 310,477.50/x
  3. Step 3: Cross multiply
    141,957x = 310,477.50 × 310,477.50
  4. Step 4: Simplify right side
    141,957x = 96,396,278,006.25
  5. Step 5: Solve for x
    x = 96,396,278,006.25/141,957
  6. Step 6: Final answer
    x = 679,052.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.