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Finding the Third Proportional to 393,973.88 and 602,397

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Solution

The third proportional to 393,973.88 and 602,397 is: 921,081.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,973.88 : 602,397 = 602,397 : x
  2. Step 2: Convert to fraction form
    393,973.88/602,397 = 602,397/x
  3. Step 3: Cross multiply
    393,973.88x = 602,397 × 602,397
  4. Step 4: Simplify right side
    393,973.88x = 362,882,145,609
  5. Step 5: Solve for x
    x = 362,882,145,609/393,973.88
  6. Step 6: Final answer
    x = 921,081.75

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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.