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Finding the Third Proportional to 345,396 and 771,090

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Solution

The third proportional to 345,396 and 771,090 is: 1,721,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,396 : 771,090 = 771,090 : x
  2. Step 2: Convert to fraction form
    345,396/771,090 = 771,090/x
  3. Step 3: Cross multiply
    345,396x = 771,090 × 771,090
  4. Step 4: Simplify right side
    345,396x = 594,579,788,100
  5. Step 5: Solve for x
    x = 594,579,788,100/345,396
  6. Step 6: Final answer
    x = 1,721,443.76

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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.