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Finding the Third Proportional to 576,656 and 918,280

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Solution

The third proportional to 576,656 and 918,280 is: 1,462,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,656 : 918,280 = 918,280 : x
  2. Step 2: Convert to fraction form
    576,656/918,280 = 918,280/x
  3. Step 3: Cross multiply
    576,656x = 918,280 × 918,280
  4. Step 4: Simplify right side
    576,656x = 843,238,158,400
  5. Step 5: Solve for x
    x = 843,238,158,400/576,656
  6. Step 6: Final answer
    x = 1,462,289.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.