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Finding the Third Proportional to 125,122,842 and 272,489,634

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Solution

The third proportional to 125,122,842 and 272,489,634 is: 593,421,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,122,842 : 272,489,634 = 272,489,634 : x
  2. Step 2: Convert to fraction form
    125,122,842/272,489,634 = 272,489,634/x
  3. Step 3: Cross multiply
    125,122,842x = 272,489,634 × 272,489,634
  4. Step 4: Simplify right side
    125,122,842x = 74,250,600,637,453,952
  5. Step 5: Solve for x
    x = 74,250,600,637,453,952/125,122,842
  6. Step 6: Final answer
    x = 593,421,628.30

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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.