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Finding the Third Proportional to 130,153.78 and 201,129.47

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Solution

The third proportional to 130,153.78 and 201,129.47 is: 310,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,153.78 : 201,129.47 = 201,129.47 : x
  2. Step 2: Convert to fraction form
    130,153.78/201,129.47 = 201,129.47/x
  3. Step 3: Cross multiply
    130,153.78x = 201,129.47 × 201,129.47
  4. Step 4: Simplify right side
    130,153.78x = 40,453,063,199.66
  5. Step 5: Solve for x
    x = 40,453,063,199.66/130,153.78
  6. Step 6: Final answer
    x = 310,809.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.