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Finding the Third Proportional to 459,902,548.50 and 689,684,979

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Solution

The third proportional to 459,902,548.50 and 689,684,979 is: 1,034,274,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,902,548.50 : 689,684,979 = 689,684,979 : x
  2. Step 2: Convert to fraction form
    459,902,548.50/689,684,979 = 689,684,979/x
  3. Step 3: Cross multiply
    459,902,548.50x = 689,684,979 × 689,684,979
  4. Step 4: Simplify right side
    459,902,548.50x = 475,665,370,258,230,464
  5. Step 5: Solve for x
    x = 475,665,370,258,230,464/459,902,548.50
  6. Step 6: Final answer
    x = 1,034,274,264.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.