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Finding the Third Proportional to 317,316 and 692,511

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Solution

The third proportional to 317,316 and 692,511 is: 1,511,337.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,316 : 692,511 = 692,511 : x
  2. Step 2: Convert to fraction form
    317,316/692,511 = 692,511/x
  3. Step 3: Cross multiply
    317,316x = 692,511 × 692,511
  4. Step 4: Simplify right side
    317,316x = 479,571,485,121
  5. Step 5: Solve for x
    x = 479,571,485,121/317,316
  6. Step 6: Final answer
    x = 1,511,337.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.