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Finding the Third Proportional to 345,255 and 770,862

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Solution

The third proportional to 345,255 and 770,862 is: 1,721,128.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,255 : 770,862 = 770,862 : x
  2. Step 2: Convert to fraction form
    345,255/770,862 = 770,862/x
  3. Step 3: Cross multiply
    345,255x = 770,862 × 770,862
  4. Step 4: Simplify right side
    345,255x = 594,228,223,044
  5. Step 5: Solve for x
    x = 594,228,223,044/345,255
  6. Step 6: Final answer
    x = 1,721,128.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.