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Finding the Third Proportional to 218,547,780.75 and 336,262,716

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Solution

The third proportional to 218,547,780.75 and 336,262,716 is: 517,381,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,547,780.75 : 336,262,716 = 336,262,716 : x
  2. Step 2: Convert to fraction form
    218,547,780.75/336,262,716 = 336,262,716/x
  3. Step 3: Cross multiply
    218,547,780.75x = 336,262,716 × 336,262,716
  4. Step 4: Simplify right side
    218,547,780.75x = 113,072,614,171,696,656
  5. Step 5: Solve for x
    x = 113,072,614,171,696,656/218,547,780.75
  6. Step 6: Final answer
    x = 517,381,662.64

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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.