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Finding the Third Proportional to 290,921,026 and 646,412,124

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Solution

The third proportional to 290,921,026 and 646,412,124 is: 1,436,295,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,921,026 : 646,412,124 = 646,412,124 : x
  2. Step 2: Convert to fraction form
    290,921,026/646,412,124 = 646,412,124/x
  3. Step 3: Cross multiply
    290,921,026x = 646,412,124 × 646,412,124
  4. Step 4: Simplify right side
    290,921,026x = 417,848,634,054,191,360
  5. Step 5: Solve for x
    x = 417,848,634,054,191,360/290,921,026
  6. Step 6: Final answer
    x = 1,436,295,752.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.