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Finding the Third Proportional to 145,106 and 304,900

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Solution

The third proportional to 145,106 and 304,900 is: 640,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,106 : 304,900 = 304,900 : x
  2. Step 2: Convert to fraction form
    145,106/304,900 = 304,900/x
  3. Step 3: Cross multiply
    145,106x = 304,900 × 304,900
  4. Step 4: Simplify right side
    145,106x = 92,964,010,000
  5. Step 5: Solve for x
    x = 92,964,010,000/145,106
  6. Step 6: Final answer
    x = 640,662.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.