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Finding the Third Proportional to 390,051.75 and 851,886

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Solution

The third proportional to 390,051.75 and 851,886 is: 1,860,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,051.75 : 851,886 = 851,886 : x
  2. Step 2: Convert to fraction form
    390,051.75/851,886 = 851,886/x
  3. Step 3: Cross multiply
    390,051.75x = 851,886 × 851,886
  4. Step 4: Simplify right side
    390,051.75x = 725,709,756,996
  5. Step 5: Solve for x
    x = 725,709,756,996/390,051.75
  6. Step 6: Final answer
    x = 1,860,547.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.