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Finding the Third Proportional to 769,784 and 1,688,284

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Solution

The third proportional to 769,784 and 1,688,284 is: 3,702,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,784 : 1,688,284 = 1,688,284 : x
  2. Step 2: Convert to fraction form
    769,784/1,688,284 = 1,688,284/x
  3. Step 3: Cross multiply
    769,784x = 1,688,284 × 1,688,284
  4. Step 4: Simplify right side
    769,784x = 2,850,302,864,656
  5. Step 5: Solve for x
    x = 2,850,302,864,656/769,784
  6. Step 6: Final answer
    x = 3,702,730.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.