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Finding the Third Proportional to 304,706 and 646,276

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Solution

The third proportional to 304,706 and 646,276 is: 1,370,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,706 : 646,276 = 646,276 : x
  2. Step 2: Convert to fraction form
    304,706/646,276 = 646,276/x
  3. Step 3: Cross multiply
    304,706x = 646,276 × 646,276
  4. Step 4: Simplify right side
    304,706x = 417,672,668,176
  5. Step 5: Solve for x
    x = 417,672,668,176/304,706
  6. Step 6: Final answer
    x = 1,370,739.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.