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Finding the Third Proportional to 345,689 and 523,363

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Solution

The third proportional to 345,689 and 523,363 is: 792,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,689 : 523,363 = 523,363 : x
  2. Step 2: Convert to fraction form
    345,689/523,363 = 523,363/x
  3. Step 3: Cross multiply
    345,689x = 523,363 × 523,363
  4. Step 4: Simplify right side
    345,689x = 273,908,829,769
  5. Step 5: Solve for x
    x = 273,908,829,769/345,689
  6. Step 6: Final answer
    x = 792,356.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.