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Finding the Third Proportional to 64,830 and 105,859

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Solution

The third proportional to 64,830 and 105,859 is: 172,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,830 : 105,859 = 105,859 : x
  2. Step 2: Convert to fraction form
    64,830/105,859 = 105,859/x
  3. Step 3: Cross multiply
    64,830x = 105,859 × 105,859
  4. Step 4: Simplify right side
    64,830x = 11,206,127,881
  5. Step 5: Solve for x
    x = 11,206,127,881/64,830
  6. Step 6: Final answer
    x = 172,854.05

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.