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Finding the Third Proportional to 429,426 and 631,011

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Solution

The third proportional to 429,426 and 631,011 is: 927,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,426 : 631,011 = 631,011 : x
  2. Step 2: Convert to fraction form
    429,426/631,011 = 631,011/x
  3. Step 3: Cross multiply
    429,426x = 631,011 × 631,011
  4. Step 4: Simplify right side
    429,426x = 398,174,882,121
  5. Step 5: Solve for x
    x = 398,174,882,121/429,426
  6. Step 6: Final answer
    x = 927,225.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.