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Finding the Third Proportional to 9,970,135.50 and 21,689,871

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Solution

The third proportional to 9,970,135.50 and 21,689,871 is: 47,185,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970,135.50 : 21,689,871 = 21,689,871 : x
  2. Step 2: Convert to fraction form
    9,970,135.50/21,689,871 = 21,689,871/x
  3. Step 3: Cross multiply
    9,970,135.50x = 21,689,871 × 21,689,871
  4. Step 4: Simplify right side
    9,970,135.50x = 470,450,503,996,641
  5. Step 5: Solve for x
    x = 470,450,503,996,641/9,970,135.50
  6. Step 6: Final answer
    x = 47,185,968.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.