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Finding the Third Proportional to 413,316 and 631,827

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Solution

The third proportional to 413,316 and 631,827 is: 965,859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,316 : 631,827 = 631,827 : x
  2. Step 2: Convert to fraction form
    413,316/631,827 = 631,827/x
  3. Step 3: Cross multiply
    413,316x = 631,827 × 631,827
  4. Step 4: Simplify right side
    413,316x = 399,205,357,929
  5. Step 5: Solve for x
    x = 399,205,357,929/413,316
  6. Step 6: Final answer
    x = 965,859.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.