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Finding the Third Proportional to 287,592 and 616,818

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Solution

The third proportional to 287,592 and 616,818 is: 1,322,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,592 : 616,818 = 616,818 : x
  2. Step 2: Convert to fraction form
    287,592/616,818 = 616,818/x
  3. Step 3: Cross multiply
    287,592x = 616,818 × 616,818
  4. Step 4: Simplify right side
    287,592x = 380,464,445,124
  5. Step 5: Solve for x
    x = 380,464,445,124/287,592
  6. Step 6: Final answer
    x = 1,322,931.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.