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Finding the Third Proportional to 698,700 and 1,497,120

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Solution

The third proportional to 698,700 and 1,497,120 is: 3,207,912.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,700 : 1,497,120 = 1,497,120 : x
  2. Step 2: Convert to fraction form
    698,700/1,497,120 = 1,497,120/x
  3. Step 3: Cross multiply
    698,700x = 1,497,120 × 1,497,120
  4. Step 4: Simplify right side
    698,700x = 2,241,368,294,400
  5. Step 5: Solve for x
    x = 2,241,368,294,400/698,700
  6. Step 6: Final answer
    x = 3,207,912.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.