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Finding the Third Proportional to 576,420 and 920,844

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Solution

The third proportional to 576,420 and 920,844 is: 1,471,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,420 : 920,844 = 920,844 : x
  2. Step 2: Convert to fraction form
    576,420/920,844 = 920,844/x
  3. Step 3: Cross multiply
    576,420x = 920,844 × 920,844
  4. Step 4: Simplify right side
    576,420x = 847,953,672,336
  5. Step 5: Solve for x
    x = 847,953,672,336/576,420
  6. Step 6: Final answer
    x = 1,471,069.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.