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Finding the Third Proportional to 164,389.50 and 253,509.75

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Solution

The third proportional to 164,389.50 and 253,509.75 is: 390,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,389.50 : 253,509.75 = 253,509.75 : x
  2. Step 2: Convert to fraction form
    164,389.50/253,509.75 = 253,509.75/x
  3. Step 3: Cross multiply
    164,389.50x = 253,509.75 × 253,509.75
  4. Step 4: Simplify right side
    164,389.50x = 64,267,193,345.06
  5. Step 5: Solve for x
    x = 64,267,193,345.06/164,389.50
  6. Step 6: Final answer
    x = 390,944.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.