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Finding the Third Proportional to 507,411 and 780,192

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Solution

The third proportional to 507,411 and 780,192 is: 1,199,618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,411 : 780,192 = 780,192 : x
  2. Step 2: Convert to fraction form
    507,411/780,192 = 780,192/x
  3. Step 3: Cross multiply
    507,411x = 780,192 × 780,192
  4. Step 4: Simplify right side
    507,411x = 608,699,556,864
  5. Step 5: Solve for x
    x = 608,699,556,864/507,411
  6. Step 6: Final answer
    x = 1,199,618.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.