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Finding the Third Proportional to 358,602 and 780,284

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Solution

The third proportional to 358,602 and 780,284 is: 1,697,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,602 : 780,284 = 780,284 : x
  2. Step 2: Convert to fraction form
    358,602/780,284 = 780,284/x
  3. Step 3: Cross multiply
    358,602x = 780,284 × 780,284
  4. Step 4: Simplify right side
    358,602x = 608,843,120,656
  5. Step 5: Solve for x
    x = 608,843,120,656/358,602
  6. Step 6: Final answer
    x = 1,697,824.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.