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Finding the Third Proportional to 398,495 and 859,960

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Solution

The third proportional to 398,495 and 859,960 is: 1,855,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,495 : 859,960 = 859,960 : x
  2. Step 2: Convert to fraction form
    398,495/859,960 = 859,960/x
  3. Step 3: Cross multiply
    398,495x = 859,960 × 859,960
  4. Step 4: Simplify right side
    398,495x = 739,531,201,600
  5. Step 5: Solve for x
    x = 739,531,201,600/398,495
  6. Step 6: Final answer
    x = 1,855,810.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.