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Finding the Third Proportional to 380,362.50 and 803,169

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Solution

The third proportional to 380,362.50 and 803,169 is: 1,695,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,362.50 : 803,169 = 803,169 : x
  2. Step 2: Convert to fraction form
    380,362.50/803,169 = 803,169/x
  3. Step 3: Cross multiply
    380,362.50x = 803,169 × 803,169
  4. Step 4: Simplify right side
    380,362.50x = 645,080,442,561
  5. Step 5: Solve for x
    x = 645,080,442,561/380,362.50
  6. Step 6: Final answer
    x = 1,695,962.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.