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Finding the Third Proportional to 355,287 and 761,222

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Solution

The third proportional to 355,287 and 761,222 is: 1,630,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,287 : 761,222 = 761,222 : x
  2. Step 2: Convert to fraction form
    355,287/761,222 = 761,222/x
  3. Step 3: Cross multiply
    355,287x = 761,222 × 761,222
  4. Step 4: Simplify right side
    355,287x = 579,458,933,284
  5. Step 5: Solve for x
    x = 579,458,933,284/355,287
  6. Step 6: Final answer
    x = 1,630,960.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.