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Finding the Third Proportional to 563,502 and 873,246

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Solution

The third proportional to 563,502 and 873,246 is: 1,353,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,502 : 873,246 = 873,246 : x
  2. Step 2: Convert to fraction form
    563,502/873,246 = 873,246/x
  3. Step 3: Cross multiply
    563,502x = 873,246 × 873,246
  4. Step 4: Simplify right side
    563,502x = 762,558,576,516
  5. Step 5: Solve for x
    x = 762,558,576,516/563,502
  6. Step 6: Final answer
    x = 1,353,249.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.