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Finding the Third Proportional to 289,726 and 426,211.50

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Solution

The third proportional to 289,726 and 426,211.50 is: 626,993.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,726 : 426,211.50 = 426,211.50 : x
  2. Step 2: Convert to fraction form
    289,726/426,211.50 = 426,211.50/x
  3. Step 3: Cross multiply
    289,726x = 426,211.50 × 426,211.50
  4. Step 4: Simplify right side
    289,726x = 181,656,242,732.25
  5. Step 5: Solve for x
    x = 181,656,242,732.25/289,726
  6. Step 6: Final answer
    x = 626,993.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.