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Finding the Third Proportional to 128,854.55 and 197,109.07

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Solution

The third proportional to 128,854.55 and 197,109.07 is: 301,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,854.55 : 197,109.07 = 197,109.07 : x
  2. Step 2: Convert to fraction form
    128,854.55/197,109.07 = 197,109.07/x
  3. Step 3: Cross multiply
    128,854.55x = 197,109.07 × 197,109.07
  4. Step 4: Simplify right side
    128,854.55x = 38,851,985,599.46
  5. Step 5: Solve for x
    x = 38,851,985,599.46/128,854.55
  6. Step 6: Final answer
    x = 301,518.16

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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.