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Finding the Third Proportional to 355,185 and 780,354

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Solution

The third proportional to 355,185 and 780,354 is: 1,714,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,185 : 780,354 = 780,354 : x
  2. Step 2: Convert to fraction form
    355,185/780,354 = 780,354/x
  3. Step 3: Cross multiply
    355,185x = 780,354 × 780,354
  4. Step 4: Simplify right side
    355,185x = 608,952,365,316
  5. Step 5: Solve for x
    x = 608,952,365,316/355,185
  6. Step 6: Final answer
    x = 1,714,465.32

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