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Finding the Third Proportional to 218,547,891 and 336,262,920.75

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Solution

The third proportional to 218,547,891 and 336,262,920.75 is: 517,382,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,547,891 : 336,262,920.75 = 336,262,920.75 : x
  2. Step 2: Convert to fraction form
    218,547,891/336,262,920.75 = 336,262,920.75/x
  3. Step 3: Cross multiply
    218,547,891x = 336,262,920.75 × 336,262,920.75
  4. Step 4: Simplify right side
    218,547,891x = 113,072,751,871,320,784
  5. Step 5: Solve for x
    x = 113,072,751,871,320,784/218,547,891
  6. Step 6: Final answer
    x = 517,382,031.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.