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Finding the Third Proportional to 395,295.19 and 869,308.88

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Solution

The third proportional to 395,295.19 and 869,308.88 is: 1,911,730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,295.19 : 869,308.88 = 869,308.88 : x
  2. Step 2: Convert to fraction form
    395,295.19/869,308.88 = 869,308.88/x
  3. Step 3: Cross multiply
    395,295.19x = 869,308.88 × 869,308.88
  4. Step 4: Simplify right side
    395,295.19x = 755,697,920,153.77
  5. Step 5: Solve for x
    x = 755,697,920,153.77/395,295.19
  6. Step 6: Final answer
    x = 1,911,730.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.