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Finding the Third Proportional to 290,921,635.50 and 646,413,445.50

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Solution

The third proportional to 290,921,635.50 and 646,413,445.50 is: 1,436,298,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,921,635.50 : 646,413,445.50 = 646,413,445.50 : x
  2. Step 2: Convert to fraction form
    290,921,635.50/646,413,445.50 = 646,413,445.50/x
  3. Step 3: Cross multiply
    290,921,635.50x = 646,413,445.50 × 646,413,445.50
  4. Step 4: Simplify right side
    290,921,635.50x = 417,850,342,523,181,440
  5. Step 5: Solve for x
    x = 417,850,342,523,181,440/290,921,635.50
  6. Step 6: Final answer
    x = 1,436,298,616.31

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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.