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Finding the Third Proportional to 258,829.50 and 553,642.50

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Solution

The third proportional to 258,829.50 and 553,642.50 is: 1,184,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,829.50 : 553,642.50 = 553,642.50 : x
  2. Step 2: Convert to fraction form
    258,829.50/553,642.50 = 553,642.50/x
  3. Step 3: Cross multiply
    258,829.50x = 553,642.50 × 553,642.50
  4. Step 4: Simplify right side
    258,829.50x = 306,520,017,806.25
  5. Step 5: Solve for x
    x = 306,520,017,806.25/258,829.50
  6. Step 6: Final answer
    x = 1,184,254.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.