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Finding the Third Proportional to 109,765,720 and 238,662,586

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Solution

The third proportional to 109,765,720 and 238,662,586 is: 518,921,845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,765,720 : 238,662,586 = 238,662,586 : x
  2. Step 2: Convert to fraction form
    109,765,720/238,662,586 = 238,662,586/x
  3. Step 3: Cross multiply
    109,765,720x = 238,662,586 × 238,662,586
  4. Step 4: Simplify right side
    109,765,720x = 56,959,829,956,207,392
  5. Step 5: Solve for x
    x = 56,959,829,956,207,392/109,765,720
  6. Step 6: Final answer
    x = 518,921,845.15

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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.