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Finding the Third Proportional to 409,908,859.88 and 885,133,930.50

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Solution

The third proportional to 409,908,859.88 and 885,133,930.50 is: 1,911,307,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,908,859.88 : 885,133,930.50 = 885,133,930.50 : x
  2. Step 2: Convert to fraction form
    409,908,859.88/885,133,930.50 = 885,133,930.50/x
  3. Step 3: Cross multiply
    409,908,859.88x = 885,133,930.50 × 885,133,930.50
  4. Step 4: Simplify right side
    409,908,859.88x = 783,462,074,922,378,880
  5. Step 5: Solve for x
    x = 783,462,074,922,378,880/409,908,859.88
  6. Step 6: Final answer
    x = 1,911,307,979.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.