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Finding the Third Proportional to 328,184 and 506,128

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Solution

The third proportional to 328,184 and 506,128 is: 780,554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,184 : 506,128 = 506,128 : x
  2. Step 2: Convert to fraction form
    328,184/506,128 = 506,128/x
  3. Step 3: Cross multiply
    328,184x = 506,128 × 506,128
  4. Step 4: Simplify right side
    328,184x = 256,165,552,384
  5. Step 5: Solve for x
    x = 256,165,552,384/328,184
  6. Step 6: Final answer
    x = 780,554.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.