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Finding the Third Proportional to 98,439,456 and 212,023,968

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Solution

The third proportional to 98,439,456 and 212,023,968 is: 456,668,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,439,456 : 212,023,968 = 212,023,968 : x
  2. Step 2: Convert to fraction form
    98,439,456/212,023,968 = 212,023,968/x
  3. Step 3: Cross multiply
    98,439,456x = 212,023,968 × 212,023,968
  4. Step 4: Simplify right side
    98,439,456x = 44,954,163,006,465,024
  5. Step 5: Solve for x
    x = 44,954,163,006,465,024/98,439,456
  6. Step 6: Final answer
    x = 456,668,137.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.