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Finding the Third Proportional to 128,762.06 and 189,421.69

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Solution

The third proportional to 128,762.06 and 189,421.69 is: 278,657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,762.06 : 189,421.69 = 189,421.69 : x
  2. Step 2: Convert to fraction form
    128,762.06/189,421.69 = 189,421.69/x
  3. Step 3: Cross multiply
    128,762.06x = 189,421.69 × 189,421.69
  4. Step 4: Simplify right side
    128,762.06x = 35,880,575,695.35
  5. Step 5: Solve for x
    x = 35,880,575,695.35/128,762.06
  6. Step 6: Final answer
    x = 278,657.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.