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Finding the Third Proportional to 15,271,755.75 and 21,362,197.50

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Solution

The third proportional to 15,271,755.75 and 21,362,197.50 is: 29,881,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,271,755.75 : 21,362,197.50 = 21,362,197.50 : x
  2. Step 2: Convert to fraction form
    15,271,755.75/21,362,197.50 = 21,362,197.50/x
  3. Step 3: Cross multiply
    15,271,755.75x = 21,362,197.50 × 21,362,197.50
  4. Step 4: Simplify right side
    15,271,755.75x = 456,343,482,029,006.25
  5. Step 5: Solve for x
    x = 456,343,482,029,006.25/15,271,755.75
  6. Step 6: Final answer
    x = 29,881,533.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.