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Finding the Third Proportional to 283,442,239.88 and 405,322,886.81

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Solution

The third proportional to 283,442,239.88 and 405,322,886.81 is: 579,612,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,442,239.88 : 405,322,886.81 = 405,322,886.81 : x
  2. Step 2: Convert to fraction form
    283,442,239.88/405,322,886.81 = 405,322,886.81/x
  3. Step 3: Cross multiply
    283,442,239.88x = 405,322,886.81 × 405,322,886.81
  4. Step 4: Simplify right side
    283,442,239.88x = 164,286,642,574,018,688
  5. Step 5: Solve for x
    x = 164,286,642,574,018,688/283,442,239.88
  6. Step 6: Final answer
    x = 579,612,419.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.