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Finding the Third Proportional to 509,316 and 775,047

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Solution

The third proportional to 509,316 and 775,047 is: 1,179,420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,316 : 775,047 = 775,047 : x
  2. Step 2: Convert to fraction form
    509,316/775,047 = 775,047/x
  3. Step 3: Cross multiply
    509,316x = 775,047 × 775,047
  4. Step 4: Simplify right side
    509,316x = 600,697,852,209
  5. Step 5: Solve for x
    x = 600,697,852,209/509,316
  6. Step 6: Final answer
    x = 1,179,420.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.