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Finding the Third Proportional to 257,953 and 398,594

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Solution

The third proportional to 257,953 and 398,594 is: 615,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,953 : 398,594 = 398,594 : x
  2. Step 2: Convert to fraction form
    257,953/398,594 = 398,594/x
  3. Step 3: Cross multiply
    257,953x = 398,594 × 398,594
  4. Step 4: Simplify right side
    257,953x = 158,877,176,836
  5. Step 5: Solve for x
    x = 158,877,176,836/257,953
  6. Step 6: Final answer
    x = 615,915.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.