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Finding the Third Proportional to 781,228 and 1,712,018

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Solution

The third proportional to 781,228 and 1,712,018 is: 3,751,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,228 : 1,712,018 = 1,712,018 : x
  2. Step 2: Convert to fraction form
    781,228/1,712,018 = 1,712,018/x
  3. Step 3: Cross multiply
    781,228x = 1,712,018 × 1,712,018
  4. Step 4: Simplify right side
    781,228x = 2,931,005,632,324
  5. Step 5: Solve for x
    x = 2,931,005,632,324/781,228
  6. Step 6: Final answer
    x = 3,751,792.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.