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Finding the Third Proportional to 429,545 and 631,168

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Solution

The third proportional to 429,545 and 631,168 is: 927,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,545 : 631,168 = 631,168 : x
  2. Step 2: Convert to fraction form
    429,545/631,168 = 631,168/x
  3. Step 3: Cross multiply
    429,545x = 631,168 × 631,168
  4. Step 4: Simplify right side
    429,545x = 398,373,044,224
  5. Step 5: Solve for x
    x = 398,373,044,224/429,545
  6. Step 6: Final answer
    x = 927,430.29

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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.