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Finding the Third Proportional to 690,372 and 1,428,678

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Solution

The third proportional to 690,372 and 1,428,678 is: 2,956,552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,372 : 1,428,678 = 1,428,678 : x
  2. Step 2: Convert to fraction form
    690,372/1,428,678 = 1,428,678/x
  3. Step 3: Cross multiply
    690,372x = 1,428,678 × 1,428,678
  4. Step 4: Simplify right side
    690,372x = 2,041,120,827,684
  5. Step 5: Solve for x
    x = 2,041,120,827,684/690,372
  6. Step 6: Final answer
    x = 2,956,552.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.