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Finding the Third Proportional to 258,643.13 and 384,271.88

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Solution

The third proportional to 258,643.13 and 384,271.88 is: 570,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,643.13 : 384,271.88 = 384,271.88 : x
  2. Step 2: Convert to fraction form
    258,643.13/384,271.88 = 384,271.88/x
  3. Step 3: Cross multiply
    258,643.13x = 384,271.88 × 384,271.88
  4. Step 4: Simplify right side
    258,643.13x = 147,664,873,916.02
  5. Step 5: Solve for x
    x = 147,664,873,916.02/258,643.13
  6. Step 6: Final answer
    x = 570,921.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.