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Finding the Third Proportional to 298,301,256.56 and 648,240,863.63

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Solution

The third proportional to 298,301,256.56 and 648,240,863.63 is: 1,408,697,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,301,256.56 : 648,240,863.63 = 648,240,863.63 : x
  2. Step 2: Convert to fraction form
    298,301,256.56/648,240,863.63 = 648,240,863.63/x
  3. Step 3: Cross multiply
    298,301,256.56x = 648,240,863.63 × 648,240,863.63
  4. Step 4: Simplify right side
    298,301,256.56x = 420,216,217,273,285,824
  5. Step 5: Solve for x
    x = 420,216,217,273,285,824/298,301,256.56
  6. Step 6: Final answer
    x = 1,408,697,442.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.