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Finding the Third Proportional to 355,157 and 780,298

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Solution

The third proportional to 355,157 and 780,298 is: 1,714,354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,157 : 780,298 = 780,298 : x
  2. Step 2: Convert to fraction form
    355,157/780,298 = 780,298/x
  3. Step 3: Cross multiply
    355,157x = 780,298 × 780,298
  4. Step 4: Simplify right side
    355,157x = 608,864,968,804
  5. Step 5: Solve for x
    x = 608,864,968,804/355,157
  6. Step 6: Final answer
    x = 1,714,354.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.