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Finding the Third Proportional to 257,130.07 and 392,222.88

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Solution

The third proportional to 257,130.07 and 392,222.88 is: 598,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,130.07 : 392,222.88 = 392,222.88 : x
  2. Step 2: Convert to fraction form
    257,130.07/392,222.88 = 392,222.88/x
  3. Step 3: Cross multiply
    257,130.07x = 392,222.88 × 392,222.88
  4. Step 4: Simplify right side
    257,130.07x = 153,838,789,801.75
  5. Step 5: Solve for x
    x = 153,838,789,801.75/257,130.07
  6. Step 6: Final answer
    x = 598,291.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.