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Finding the Third Proportional to 521,784 and 830,018

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Solution

The third proportional to 521,784 and 830,018 is: 1,320,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,784 : 830,018 = 830,018 : x
  2. Step 2: Convert to fraction form
    521,784/830,018 = 830,018/x
  3. Step 3: Cross multiply
    521,784x = 830,018 × 830,018
  4. Step 4: Simplify right side
    521,784x = 688,929,880,324
  5. Step 5: Solve for x
    x = 688,929,880,324/521,784
  6. Step 6: Final answer
    x = 1,320,335.39

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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.