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Finding the Third Proportional to 387,051.75 and 586,409.63

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Solution

The third proportional to 387,051.75 and 586,409.63 is: 888,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,051.75 : 586,409.63 = 586,409.63 : x
  2. Step 2: Convert to fraction form
    387,051.75/586,409.63 = 586,409.63/x
  3. Step 3: Cross multiply
    387,051.75x = 586,409.63 × 586,409.63
  4. Step 4: Simplify right side
    387,051.75x = 343,876,248,292.64
  5. Step 5: Solve for x
    x = 343,876,248,292.64/387,051.75
  6. Step 6: Final answer
    x = 888,450.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.