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Finding the Third Proportional to 130,840,410,874 and 284,605,415,666

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Solution

The third proportional to 130,840,410,874 and 284,605,415,666 is: 619,076,645,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,840,410,874 : 284,605,415,666 = 284,605,415,666 : x
  2. Step 2: Convert to fraction form
    130,840,410,874/284,605,415,666 = 284,605,415,666/x
  3. Step 3: Cross multiply
    130,840,410,874x = 284,605,415,666 × 284,605,415,666
  4. Step 4: Simplify right side
    130,840,410,874x = 81,000,242,626,416,630,300,672
  5. Step 5: Solve for x
    x = 81,000,242,626,416,630,300,672/130,840,410,874
  6. Step 6: Final answer
    x = 619,076,645,245.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.