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Finding the Third Proportional to 345,706 and 564,503

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Solution

The third proportional to 345,706 and 564,503 is: 921,776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,706 : 564,503 = 564,503 : x
  2. Step 2: Convert to fraction form
    345,706/564,503 = 564,503/x
  3. Step 3: Cross multiply
    345,706x = 564,503 × 564,503
  4. Step 4: Simplify right side
    345,706x = 318,663,637,009
  5. Step 5: Solve for x
    x = 318,663,637,009/345,706
  6. Step 6: Final answer
    x = 921,776.41

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.