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Finding the Third Proportional to 452,683.50 and 679,080

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Solution

The third proportional to 452,683.50 and 679,080 is: 1,018,702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,683.50 : 679,080 = 679,080 : x
  2. Step 2: Convert to fraction form
    452,683.50/679,080 = 679,080/x
  3. Step 3: Cross multiply
    452,683.50x = 679,080 × 679,080
  4. Step 4: Simplify right side
    452,683.50x = 461,149,646,400
  5. Step 5: Solve for x
    x = 461,149,646,400/452,683.50
  6. Step 6: Final answer
    x = 1,018,702.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.