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Finding the Third Proportional to 319,968 and 457,260

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Solution

The third proportional to 319,968 and 457,260 is: 653,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,968 : 457,260 = 457,260 : x
  2. Step 2: Convert to fraction form
    319,968/457,260 = 457,260/x
  3. Step 3: Cross multiply
    319,968x = 457,260 × 457,260
  4. Step 4: Simplify right side
    319,968x = 209,086,707,600
  5. Step 5: Solve for x
    x = 209,086,707,600/319,968
  6. Step 6: Final answer
    x = 653,461.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.