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Finding the Third Proportional to 94,623,426,410 and 203,598,242,714

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Solution

The third proportional to 94,623,426,410 and 203,598,242,714 is: 438,075,918,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,623,426,410 : 203,598,242,714 = 203,598,242,714 : x
  2. Step 2: Convert to fraction form
    94,623,426,410/203,598,242,714 = 203,598,242,714/x
  3. Step 3: Cross multiply
    94,623,426,410x = 203,598,242,714 × 203,598,242,714
  4. Step 4: Simplify right side
    94,623,426,410x = 41,452,244,436,228,857,921,536
  5. Step 5: Solve for x
    x = 41,452,244,436,228,857,921,536/94,623,426,410
  6. Step 6: Final answer
    x = 438,075,918,500.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.