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Finding the Third Proportional to 420,916 and 631,854

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Solution

The third proportional to 420,916 and 631,854 is: 948,501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,916 : 631,854 = 631,854 : x
  2. Step 2: Convert to fraction form
    420,916/631,854 = 631,854/x
  3. Step 3: Cross multiply
    420,916x = 631,854 × 631,854
  4. Step 4: Simplify right side
    420,916x = 399,239,477,316
  5. Step 5: Solve for x
    x = 399,239,477,316/420,916
  6. Step 6: Final answer
    x = 948,501.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.