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Finding the Third Proportional to 690,434 and 1,480,324

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Solution

The third proportional to 690,434 and 1,480,324 is: 3,173,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,434 : 1,480,324 = 1,480,324 : x
  2. Step 2: Convert to fraction form
    690,434/1,480,324 = 1,480,324/x
  3. Step 3: Cross multiply
    690,434x = 1,480,324 × 1,480,324
  4. Step 4: Simplify right side
    690,434x = 2,191,359,144,976
  5. Step 5: Solve for x
    x = 2,191,359,144,976/690,434
  6. Step 6: Final answer
    x = 3,173,886.49

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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.