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Finding the Third Proportional to 445,862,618 and 688,674,279

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Solution

The third proportional to 445,862,618 and 688,674,279 is: 1,063,718,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,862,618 : 688,674,279 = 688,674,279 : x
  2. Step 2: Convert to fraction form
    445,862,618/688,674,279 = 688,674,279/x
  3. Step 3: Cross multiply
    445,862,618x = 688,674,279 × 688,674,279
  4. Step 4: Simplify right side
    445,862,618x = 474,272,262,556,169,856
  5. Step 5: Solve for x
    x = 474,272,262,556,169,856/445,862,618
  6. Step 6: Final answer
    x = 1,063,718,381.87

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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.