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Finding the Third Proportional to 319,476 and 485,046

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Solution

The third proportional to 319,476 and 485,046 is: 736,423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,476 : 485,046 = 485,046 : x
  2. Step 2: Convert to fraction form
    319,476/485,046 = 485,046/x
  3. Step 3: Cross multiply
    319,476x = 485,046 × 485,046
  4. Step 4: Simplify right side
    319,476x = 235,269,622,116
  5. Step 5: Solve for x
    x = 235,269,622,116/319,476
  6. Step 6: Final answer
    x = 736,423.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.