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Finding the Third Proportional to 59,520 and 128,304

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Solution

The third proportional to 59,520 and 128,304 is: 276,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,520 : 128,304 = 128,304 : x
  2. Step 2: Convert to fraction form
    59,520/128,304 = 128,304/x
  3. Step 3: Cross multiply
    59,520x = 128,304 × 128,304
  4. Step 4: Simplify right side
    59,520x = 16,461,916,416
  5. Step 5: Solve for x
    x = 16,461,916,416/59,520
  6. Step 6: Final answer
    x = 276,577.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.