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Finding the Third Proportional to 4,319,729 and 9,280,518.50

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Solution

The third proportional to 4,319,729 and 9,280,518.50 is: 19,938,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,319,729 : 9,280,518.50 = 9,280,518.50 : x
  2. Step 2: Convert to fraction form
    4,319,729/9,280,518.50 = 9,280,518.50/x
  3. Step 3: Cross multiply
    4,319,729x = 9,280,518.50 × 9,280,518.50
  4. Step 4: Simplify right side
    4,319,729x = 86,128,023,628,842.25
  5. Step 5: Solve for x
    x = 86,128,023,628,842.25/4,319,729
  6. Step 6: Final answer
    x = 19,938,293.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.