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Finding the Third Proportional to 768,120 and 1,683,178

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Solution

The third proportional to 768,120 and 1,683,178 is: 3,688,340.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,120 : 1,683,178 = 1,683,178 : x
  2. Step 2: Convert to fraction form
    768,120/1,683,178 = 1,683,178/x
  3. Step 3: Cross multiply
    768,120x = 1,683,178 × 1,683,178
  4. Step 4: Simplify right side
    768,120x = 2,833,088,179,684
  5. Step 5: Solve for x
    x = 2,833,088,179,684/768,120
  6. Step 6: Final answer
    x = 3,688,340.60

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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.