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Finding the Third Proportional to 347,706 and 761,778

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Solution

The third proportional to 347,706 and 761,778 is: 1,668,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,706 : 761,778 = 761,778 : x
  2. Step 2: Convert to fraction form
    347,706/761,778 = 761,778/x
  3. Step 3: Cross multiply
    347,706x = 761,778 × 761,778
  4. Step 4: Simplify right side
    347,706x = 580,305,721,284
  5. Step 5: Solve for x
    x = 580,305,721,284/347,706
  6. Step 6: Final answer
    x = 1,668,955.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.