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Finding the Third Proportional to 781,270 and 1,712,104

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Solution

The third proportional to 781,270 and 1,712,104 is: 3,751,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,270 : 1,712,104 = 1,712,104 : x
  2. Step 2: Convert to fraction form
    781,270/1,712,104 = 1,712,104/x
  3. Step 3: Cross multiply
    781,270x = 1,712,104 × 1,712,104
  4. Step 4: Simplify right side
    781,270x = 2,931,300,106,816
  5. Step 5: Solve for x
    x = 2,931,300,106,816/781,270
  6. Step 6: Final answer
    x = 3,751,968.09

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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.