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Finding the Third Proportional to 264,413 and 578,890

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Solution

The third proportional to 264,413 and 578,890 is: 1,267,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,413 : 578,890 = 578,890 : x
  2. Step 2: Convert to fraction form
    264,413/578,890 = 578,890/x
  3. Step 3: Cross multiply
    264,413x = 578,890 × 578,890
  4. Step 4: Simplify right side
    264,413x = 335,113,632,100
  5. Step 5: Solve for x
    x = 335,113,632,100/264,413
  6. Step 6: Final answer
    x = 1,267,387.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.