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Finding the Third Proportional to 153,309,797,560 and 335,471,659,880

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Solution

The third proportional to 153,309,797,560 and 335,471,659,880 is: 734,077,249,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,309,797,560 : 335,471,659,880 = 335,471,659,880 : x
  2. Step 2: Convert to fraction form
    153,309,797,560/335,471,659,880 = 335,471,659,880/x
  3. Step 3: Cross multiply
    153,309,797,560x = 335,471,659,880 × 335,471,659,880
  4. Step 4: Simplify right side
    153,309,797,560x = 112,541,234,582,642,399,117,312
  5. Step 5: Solve for x
    x = 112,541,234,582,642,399,117,312/153,309,797,560
  6. Step 6: Final answer
    x = 734,077,249,946.13

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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.