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Finding the Third Proportional to 684,020 and 1,486,120

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Solution

The third proportional to 684,020 and 1,486,120 is: 3,228,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,020 : 1,486,120 = 1,486,120 : x
  2. Step 2: Convert to fraction form
    684,020/1,486,120 = 1,486,120/x
  3. Step 3: Cross multiply
    684,020x = 1,486,120 × 1,486,120
  4. Step 4: Simplify right side
    684,020x = 2,208,552,654,400
  5. Step 5: Solve for x
    x = 2,208,552,654,400/684,020
  6. Step 6: Final answer
    x = 3,228,783.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.