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Finding the Third Proportional to 4,222,140 and 9,266,346

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Solution

The third proportional to 4,222,140 and 9,266,346 is: 20,336,883.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222,140 : 9,266,346 = 9,266,346 : x
  2. Step 2: Convert to fraction form
    4,222,140/9,266,346 = 9,266,346/x
  3. Step 3: Cross multiply
    4,222,140x = 9,266,346 × 9,266,346
  4. Step 4: Simplify right side
    4,222,140x = 85,865,168,191,716
  5. Step 5: Solve for x
    x = 85,865,168,191,716/4,222,140
  6. Step 6: Final answer
    x = 20,336,883.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.