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Finding the Third Proportional to 53,307 and 82,903.50

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Solution

The third proportional to 53,307 and 82,903.50 is: 128,932.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,307 : 82,903.50 = 82,903.50 : x
  2. Step 2: Convert to fraction form
    53,307/82,903.50 = 82,903.50/x
  3. Step 3: Cross multiply
    53,307x = 82,903.50 × 82,903.50
  4. Step 4: Simplify right side
    53,307x = 6,872,990,312.25
  5. Step 5: Solve for x
    x = 6,872,990,312.25/53,307
  6. Step 6: Final answer
    x = 128,932.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.