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Finding the Third Proportional to 85,710.13 and 130,740.63

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Solution

The third proportional to 85,710.13 and 130,740.63 is: 199,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,710.13 : 130,740.63 = 130,740.63 : x
  2. Step 2: Convert to fraction form
    85,710.13/130,740.63 = 130,740.63/x
  3. Step 3: Cross multiply
    85,710.13x = 130,740.63 × 130,740.63
  4. Step 4: Simplify right side
    85,710.13x = 17,093,111,025.39
  5. Step 5: Solve for x
    x = 17,093,111,025.39/85,710.13
  6. Step 6: Final answer
    x = 199,429.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.