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Finding the Third Proportional to 5,848,480 and 13,041,700.50

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Solution

The third proportional to 5,848,480 and 13,041,700.50 is: 29,082,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848,480 : 13,041,700.50 = 13,041,700.50 : x
  2. Step 2: Convert to fraction form
    5,848,480/13,041,700.50 = 13,041,700.50/x
  3. Step 3: Cross multiply
    5,848,480x = 13,041,700.50 × 13,041,700.50
  4. Step 4: Simplify right side
    5,848,480x = 170,085,951,931,700.25
  5. Step 5: Solve for x
    x = 170,085,951,931,700.25/5,848,480
  6. Step 6: Final answer
    x = 29,082,078.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.