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Finding the Third Proportional to 659,472 and 1,421,328

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Solution

The third proportional to 659,472 and 1,421,328 is: 3,063,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,472 : 1,421,328 = 1,421,328 : x
  2. Step 2: Convert to fraction form
    659,472/1,421,328 = 1,421,328/x
  3. Step 3: Cross multiply
    659,472x = 1,421,328 × 1,421,328
  4. Step 4: Simplify right side
    659,472x = 2,020,173,283,584
  5. Step 5: Solve for x
    x = 2,020,173,283,584/659,472
  6. Step 6: Final answer
    x = 3,063,319.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.