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Finding the Third Proportional to 103,818,026 and 224,050,538

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Solution

The third proportional to 103,818,026 and 224,050,538 is: 483,525,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,818,026 : 224,050,538 = 224,050,538 : x
  2. Step 2: Convert to fraction form
    103,818,026/224,050,538 = 224,050,538/x
  3. Step 3: Cross multiply
    103,818,026x = 224,050,538 × 224,050,538
  4. Step 4: Simplify right side
    103,818,026x = 50,198,643,578,089,440
  5. Step 5: Solve for x
    x = 50,198,643,578,089,440/103,818,026
  6. Step 6: Final answer
    x = 483,525,313.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.