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Finding the Third Proportional to 516,392 and 782,316

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Solution

The third proportional to 516,392 and 782,316 is: 1,185,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,392 : 782,316 = 782,316 : x
  2. Step 2: Convert to fraction form
    516,392/782,316 = 782,316/x
  3. Step 3: Cross multiply
    516,392x = 782,316 × 782,316
  4. Step 4: Simplify right side
    516,392x = 612,018,323,856
  5. Step 5: Solve for x
    x = 612,018,323,856/516,392
  6. Step 6: Final answer
    x = 1,185,181.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.