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Finding the Third Proportional to 360,798.75 and 778,801.50

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Solution

The third proportional to 360,798.75 and 778,801.50 is: 1,681,080.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,798.75 : 778,801.50 = 778,801.50 : x
  2. Step 2: Convert to fraction form
    360,798.75/778,801.50 = 778,801.50/x
  3. Step 3: Cross multiply
    360,798.75x = 778,801.50 × 778,801.50
  4. Step 4: Simplify right side
    360,798.75x = 606,531,776,402.25
  5. Step 5: Solve for x
    x = 606,531,776,402.25/360,798.75
  6. Step 6: Final answer
    x = 1,681,080.59

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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.