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Finding the Third Proportional to 125,122,844 and 272,489,638

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Solution

The third proportional to 125,122,844 and 272,489,638 is: 593,421,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,122,844 : 272,489,638 = 272,489,638 : x
  2. Step 2: Convert to fraction form
    125,122,844/272,489,638 = 272,489,638/x
  3. Step 3: Cross multiply
    125,122,844x = 272,489,638 × 272,489,638
  4. Step 4: Simplify right side
    125,122,844x = 74,250,602,817,371,040
  5. Step 5: Solve for x
    x = 74,250,602,817,371,040/125,122,844
  6. Step 6: Final answer
    x = 593,421,636.24

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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.