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Finding the Third Proportional to 470,534 and 729,128

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Solution

The third proportional to 470,534 and 729,128 is: 1,129,838.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,534 : 729,128 = 729,128 : x
  2. Step 2: Convert to fraction form
    470,534/729,128 = 729,128/x
  3. Step 3: Cross multiply
    470,534x = 729,128 × 729,128
  4. Step 4: Simplify right side
    470,534x = 531,627,640,384
  5. Step 5: Solve for x
    x = 531,627,640,384/470,534
  6. Step 6: Final answer
    x = 1,129,838.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.