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Finding the Third Proportional to 239,310 and 348,579

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Solution

The third proportional to 239,310 and 348,579 is: 507,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,310 : 348,579 = 348,579 : x
  2. Step 2: Convert to fraction form
    239,310/348,579 = 348,579/x
  3. Step 3: Cross multiply
    239,310x = 348,579 × 348,579
  4. Step 4: Simplify right side
    239,310x = 121,507,319,241
  5. Step 5: Solve for x
    x = 121,507,319,241/239,310
  6. Step 6: Final answer
    x = 507,740.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.