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Finding the Third Proportional to 238,171,820 and 515,920,424

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Solution

The third proportional to 238,171,820 and 515,920,424 is: 1,117,570,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,171,820 : 515,920,424 = 515,920,424 : x
  2. Step 2: Convert to fraction form
    238,171,820/515,920,424 = 515,920,424/x
  3. Step 3: Cross multiply
    238,171,820x = 515,920,424 × 515,920,424
  4. Step 4: Simplify right side
    238,171,820x = 266,173,883,900,339,776
  5. Step 5: Solve for x
    x = 266,173,883,900,339,776/238,171,820
  6. Step 6: Final answer
    x = 1,117,570,852.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.