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Finding the Third Proportional to 518,132,485 and 740,935,546.50

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Solution

The third proportional to 518,132,485 and 740,935,546.50 is: 1,059,546,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,132,485 : 740,935,546.50 = 740,935,546.50 : x
  2. Step 2: Convert to fraction form
    518,132,485/740,935,546.50 = 740,935,546.50/x
  3. Step 3: Cross multiply
    518,132,485x = 740,935,546.50 × 740,935,546.50
  4. Step 4: Simplify right side
    518,132,485x = 548,985,484,067,253,632
  5. Step 5: Solve for x
    x = 548,985,484,067,253,632/518,132,485
  6. Step 6: Final answer
    x = 1,059,546,544.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.