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Finding the Third Proportional to 802,120 and 1,712,484

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Solution

The third proportional to 802,120 and 1,712,484 is: 3,656,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,120 : 1,712,484 = 1,712,484 : x
  2. Step 2: Convert to fraction form
    802,120/1,712,484 = 1,712,484/x
  3. Step 3: Cross multiply
    802,120x = 1,712,484 × 1,712,484
  4. Step 4: Simplify right side
    802,120x = 2,932,601,450,256
  5. Step 5: Solve for x
    x = 2,932,601,450,256/802,120
  6. Step 6: Final answer
    x = 3,656,063.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.