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Finding the Third Proportional to 259,019,724 and 398,533,833

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Solution

The third proportional to 259,019,724 and 398,533,833 is: 613,193,518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,019,724 : 398,533,833 = 398,533,833 : x
  2. Step 2: Convert to fraction form
    259,019,724/398,533,833 = 398,533,833/x
  3. Step 3: Cross multiply
    259,019,724x = 398,533,833 × 398,533,833
  4. Step 4: Simplify right side
    259,019,724x = 158,829,216,045,671,904
  5. Step 5: Solve for x
    x = 158,829,216,045,671,904/259,019,724
  6. Step 6: Final answer
    x = 613,193,518.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.