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Finding the Third Proportional to 121,345,126 and 265,392,020

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Solution

The third proportional to 121,345,126 and 265,392,020 is: 580,434,720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,345,126 : 265,392,020 = 265,392,020 : x
  2. Step 2: Convert to fraction form
    121,345,126/265,392,020 = 265,392,020/x
  3. Step 3: Cross multiply
    121,345,126x = 265,392,020 × 265,392,020
  4. Step 4: Simplify right side
    121,345,126x = 70,432,924,279,680,400
  5. Step 5: Solve for x
    x = 70,432,924,279,680,400/121,345,126
  6. Step 6: Final answer
    x = 580,434,720.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.