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Finding the Third Proportional to 218,547,780 and 336,262,714.50

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Solution

The third proportional to 218,547,780 and 336,262,714.50 is: 517,381,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,547,780 : 336,262,714.50 = 336,262,714.50 : x
  2. Step 2: Convert to fraction form
    218,547,780/336,262,714.50 = 336,262,714.50/x
  3. Step 3: Cross multiply
    218,547,780x = 336,262,714.50 × 336,262,714.50
  4. Step 4: Simplify right side
    218,547,780x = 113,072,613,162,908,512
  5. Step 5: Solve for x
    x = 113,072,613,162,908,512/218,547,780
  6. Step 6: Final answer
    x = 517,381,659.80

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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.