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Finding the Third Proportional to 140,480 and 304,768

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Solution

The third proportional to 140,480 and 304,768 is: 661,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,480 : 304,768 = 304,768 : x
  2. Step 2: Convert to fraction form
    140,480/304,768 = 304,768/x
  3. Step 3: Cross multiply
    140,480x = 304,768 × 304,768
  4. Step 4: Simplify right side
    140,480x = 92,883,533,824
  5. Step 5: Solve for x
    x = 92,883,533,824/140,480
  6. Step 6: Final answer
    x = 661,186.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.