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Finding the Third Proportional to 128,492 and 197,748

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Solution

The third proportional to 128,492 and 197,748 is: 304,332.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,492 : 197,748 = 197,748 : x
  2. Step 2: Convert to fraction form
    128,492/197,748 = 197,748/x
  3. Step 3: Cross multiply
    128,492x = 197,748 × 197,748
  4. Step 4: Simplify right side
    128,492x = 39,104,271,504
  5. Step 5: Solve for x
    x = 39,104,271,504/128,492
  6. Step 6: Final answer
    x = 304,332.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.