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Finding the Third Proportional to 471,428 and 713,990

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Solution

The third proportional to 471,428 and 713,990 is: 1,081,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,428 : 713,990 = 713,990 : x
  2. Step 2: Convert to fraction form
    471,428/713,990 = 713,990/x
  3. Step 3: Cross multiply
    471,428x = 713,990 × 713,990
  4. Step 4: Simplify right side
    471,428x = 509,781,720,100
  5. Step 5: Solve for x
    x = 509,781,720,100/471,428
  6. Step 6: Final answer
    x = 1,081,356.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.