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Finding the Third Proportional to 21,803,418 and 31,758,702.75

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Solution

The third proportional to 21,803,418 and 31,758,702.75 is: 46,259,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,803,418 : 31,758,702.75 = 31,758,702.75 : x
  2. Step 2: Convert to fraction form
    21,803,418/31,758,702.75 = 31,758,702.75/x
  3. Step 3: Cross multiply
    21,803,418x = 31,758,702.75 × 31,758,702.75
  4. Step 4: Simplify right side
    21,803,418x = 1,008,615,200,362,857.50
  5. Step 5: Solve for x
    x = 1,008,615,200,362,857.50/21,803,418
  6. Step 6: Final answer
    x = 46,259,499.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.