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Finding the Third Proportional to 70,646 and 99,010.25

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Solution

The third proportional to 70,646 and 99,010.25 is: 138,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,646 : 99,010.25 = 99,010.25 : x
  2. Step 2: Convert to fraction form
    70,646/99,010.25 = 99,010.25/x
  3. Step 3: Cross multiply
    70,646x = 99,010.25 × 99,010.25
  4. Step 4: Simplify right side
    70,646x = 9,803,029,605.06
  5. Step 5: Solve for x
    x = 9,803,029,605.06/70,646
  6. Step 6: Final answer
    x = 138,762.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.