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Finding the Third Proportional to 302,728.50 and 474,946.50

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Solution

The third proportional to 302,728.50 and 474,946.50 is: 745,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,728.50 : 474,946.50 = 474,946.50 : x
  2. Step 2: Convert to fraction form
    302,728.50/474,946.50 = 474,946.50/x
  3. Step 3: Cross multiply
    302,728.50x = 474,946.50 × 474,946.50
  4. Step 4: Simplify right side
    302,728.50x = 225,574,177,862.25
  5. Step 5: Solve for x
    x = 225,574,177,862.25/302,728.50
  6. Step 6: Final answer
    x = 745,136.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.