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Finding the Third Proportional to 658,038 and 1,428,828

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Solution

The third proportional to 658,038 and 1,428,828 is: 3,102,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,038 : 1,428,828 = 1,428,828 : x
  2. Step 2: Convert to fraction form
    658,038/1,428,828 = 1,428,828/x
  3. Step 3: Cross multiply
    658,038x = 1,428,828 × 1,428,828
  4. Step 4: Simplify right side
    658,038x = 2,041,549,453,584
  5. Step 5: Solve for x
    x = 2,041,549,453,584/658,038
  6. Step 6: Final answer
    x = 3,102,479.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.