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Finding the Third Proportional to 9,705,480 and 15,223,715

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Solution

The third proportional to 9,705,480 and 15,223,715 is: 23,879,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705,480 : 15,223,715 = 15,223,715 : x
  2. Step 2: Convert to fraction form
    9,705,480/15,223,715 = 15,223,715/x
  3. Step 3: Cross multiply
    9,705,480x = 15,223,715 × 15,223,715
  4. Step 4: Simplify right side
    9,705,480x = 231,761,498,401,225
  5. Step 5: Solve for x
    x = 231,761,498,401,225/9,705,480
  6. Step 6: Final answer
    x = 23,879,447.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.