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Finding the Third Proportional to 290,907,946 and 646,389,524

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Solution

The third proportional to 290,907,946 and 646,389,524 is: 1,436,259,897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,907,946 : 646,389,524 = 646,389,524 : x
  2. Step 2: Convert to fraction form
    290,907,946/646,389,524 = 646,389,524/x
  3. Step 3: Cross multiply
    290,907,946x = 646,389,524 × 646,389,524
  4. Step 4: Simplify right side
    290,907,946x = 417,819,416,736,946,560
  5. Step 5: Solve for x
    x = 417,819,416,736,946,560/290,907,946
  6. Step 6: Final answer
    x = 1,436,259,897.61

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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.