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Finding the Third Proportional to 305,055 and 712,620

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Solution

The third proportional to 305,055 and 712,620 is: 1,664,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,055 : 712,620 = 712,620 : x
  2. Step 2: Convert to fraction form
    305,055/712,620 = 712,620/x
  3. Step 3: Cross multiply
    305,055x = 712,620 × 712,620
  4. Step 4: Simplify right side
    305,055x = 507,827,264,400
  5. Step 5: Solve for x
    x = 507,827,264,400/305,055
  6. Step 6: Final answer
    x = 1,664,707.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.