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Finding the Third Proportional to 402,406.31 and 874,702.13

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Solution

The third proportional to 402,406.31 and 874,702.13 is: 1,901,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,406.31 : 874,702.13 = 874,702.13 : x
  2. Step 2: Convert to fraction form
    402,406.31/874,702.13 = 874,702.13/x
  3. Step 3: Cross multiply
    402,406.31x = 874,702.13 × 874,702.13
  4. Step 4: Simplify right side
    402,406.31x = 765,103,807,479.52
  5. Step 5: Solve for x
    x = 765,103,807,479.52/402,406.31
  6. Step 6: Final answer
    x = 1,901,321.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.