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Finding the Third Proportional to 247,089 and 539,490

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Solution

The third proportional to 247,089 and 539,490 is: 1,177,913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,089 : 539,490 = 539,490 : x
  2. Step 2: Convert to fraction form
    247,089/539,490 = 539,490/x
  3. Step 3: Cross multiply
    247,089x = 539,490 × 539,490
  4. Step 4: Simplify right side
    247,089x = 291,049,460,100
  5. Step 5: Solve for x
    x = 291,049,460,100/247,089
  6. Step 6: Final answer
    x = 1,177,913.46

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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.