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Finding the Third Proportional to 602,211 and 901,318.50

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Solution

The third proportional to 602,211 and 901,318.50 is: 1,348,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,211 : 901,318.50 = 901,318.50 : x
  2. Step 2: Convert to fraction form
    602,211/901,318.50 = 901,318.50/x
  3. Step 3: Cross multiply
    602,211x = 901,318.50 × 901,318.50
  4. Step 4: Simplify right side
    602,211x = 812,375,038,442.25
  5. Step 5: Solve for x
    x = 812,375,038,442.25/602,211
  6. Step 6: Final answer
    x = 1,348,987.38

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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.