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Finding the Third Proportional to 360,316 and 538,454

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Solution

The third proportional to 360,316 and 538,454 is: 804,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,316 : 538,454 = 538,454 : x
  2. Step 2: Convert to fraction form
    360,316/538,454 = 538,454/x
  3. Step 3: Cross multiply
    360,316x = 538,454 × 538,454
  4. Step 4: Simplify right side
    360,316x = 289,932,710,116
  5. Step 5: Solve for x
    x = 289,932,710,116/360,316
  6. Step 6: Final answer
    x = 804,662.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.