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Finding the Third Proportional to 690,268.50 and 1,478,898

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Solution

The third proportional to 690,268.50 and 1,478,898 is: 3,168,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,268.50 : 1,478,898 = 1,478,898 : x
  2. Step 2: Convert to fraction form
    690,268.50/1,478,898 = 1,478,898/x
  3. Step 3: Cross multiply
    690,268.50x = 1,478,898 × 1,478,898
  4. Step 4: Simplify right side
    690,268.50x = 2,187,139,294,404
  5. Step 5: Solve for x
    x = 2,187,139,294,404/690,268.50
  6. Step 6: Final answer
    x = 3,168,534.12

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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.