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Finding the Third Proportional to 684,672 and 1,390,080

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Solution

The third proportional to 684,672 and 1,390,080 is: 2,822,260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,672 : 1,390,080 = 1,390,080 : x
  2. Step 2: Convert to fraction form
    684,672/1,390,080 = 1,390,080/x
  3. Step 3: Cross multiply
    684,672x = 1,390,080 × 1,390,080
  4. Step 4: Simplify right side
    684,672x = 1,932,322,406,400
  5. Step 5: Solve for x
    x = 1,932,322,406,400/684,672
  6. Step 6: Final answer
    x = 2,822,260.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.