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Finding the Third Proportional to 102,897,888 and 214,263,840

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Solution

The third proportional to 102,897,888 and 214,263,840 is: 446,160,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,897,888 : 214,263,840 = 214,263,840 : x
  2. Step 2: Convert to fraction form
    102,897,888/214,263,840 = 214,263,840/x
  3. Step 3: Cross multiply
    102,897,888x = 214,263,840 × 214,263,840
  4. Step 4: Simplify right side
    102,897,888x = 45,908,993,131,545,600
  5. Step 5: Solve for x
    x = 45,908,993,131,545,600/102,897,888
  6. Step 6: Final answer
    x = 446,160,694.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.