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Finding the Third Proportional to 243,078 and 530,018

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Solution

The third proportional to 243,078 and 530,018 is: 1,155,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,078 : 530,018 = 530,018 : x
  2. Step 2: Convert to fraction form
    243,078/530,018 = 530,018/x
  3. Step 3: Cross multiply
    243,078x = 530,018 × 530,018
  4. Step 4: Simplify right side
    243,078x = 280,919,080,324
  5. Step 5: Solve for x
    x = 280,919,080,324/243,078
  6. Step 6: Final answer
    x = 1,155,674.64

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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.