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Finding the Third Proportional to 387,004.50 and 586,345.50

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Solution

The third proportional to 387,004.50 and 586,345.50 is: 888,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,004.50 : 586,345.50 = 586,345.50 : x
  2. Step 2: Convert to fraction form
    387,004.50/586,345.50 = 586,345.50/x
  3. Step 3: Cross multiply
    387,004.50x = 586,345.50 × 586,345.50
  4. Step 4: Simplify right side
    387,004.50x = 343,801,045,370.25
  5. Step 5: Solve for x
    x = 343,801,045,370.25/387,004.50
  6. Step 6: Final answer
    x = 888,364.46

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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.