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Finding the Third Proportional to 130,840,410,900 and 284,605,415,712

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Solution

The third proportional to 130,840,410,900 and 284,605,415,712 is: 619,076,645,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,840,410,900 : 284,605,415,712 = 284,605,415,712 : x
  2. Step 2: Convert to fraction form
    130,840,410,900/284,605,415,712 = 284,605,415,712/x
  3. Step 3: Cross multiply
    130,840,410,900x = 284,605,415,712 × 284,605,415,712
  4. Step 4: Simplify right side
    130,840,410,900x = 81,000,242,652,600,344,772,608
  5. Step 5: Solve for x
    x = 81,000,242,652,600,344,772,608/130,840,410,900
  6. Step 6: Final answer
    x = 619,076,645,322.58

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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.