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Finding the Third Proportional to 402,357 and 563,865

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Solution

The third proportional to 402,357 and 563,865 is: 790,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,357 : 563,865 = 563,865 : x
  2. Step 2: Convert to fraction form
    402,357/563,865 = 563,865/x
  3. Step 3: Cross multiply
    402,357x = 563,865 × 563,865
  4. Step 4: Simplify right side
    402,357x = 317,943,738,225
  5. Step 5: Solve for x
    x = 317,943,738,225/402,357
  6. Step 6: Final answer
    x = 790,203.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.