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Finding the Third Proportional to 509,662.13 and 712,919.81

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Solution

The third proportional to 509,662.13 and 712,919.81 is: 997,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,662.13 : 712,919.81 = 712,919.81 : x
  2. Step 2: Convert to fraction form
    509,662.13/712,919.81 = 712,919.81/x
  3. Step 3: Cross multiply
    509,662.13x = 712,919.81 × 712,919.81
  4. Step 4: Simplify right side
    509,662.13x = 508,254,659,055.04
  5. Step 5: Solve for x
    x = 508,254,659,055.04/509,662.13
  6. Step 6: Final answer
    x = 997,238.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.