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Finding the Third Proportional to 100,905,040 and 221,343,392

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Solution

The third proportional to 100,905,040 and 221,343,392 is: 485,534,688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,905,040 : 221,343,392 = 221,343,392 : x
  2. Step 2: Convert to fraction form
    100,905,040/221,343,392 = 221,343,392/x
  3. Step 3: Cross multiply
    100,905,040x = 221,343,392 × 221,343,392
  4. Step 4: Simplify right side
    100,905,040x = 48,992,897,182,065,664
  5. Step 5: Solve for x
    x = 48,992,897,182,065,664/100,905,040
  6. Step 6: Final answer
    x = 485,534,688.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.