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Finding the Third Proportional to 328,776 and 513,684

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Solution

The third proportional to 328,776 and 513,684 is: 802,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,776 : 513,684 = 513,684 : x
  2. Step 2: Convert to fraction form
    328,776/513,684 = 513,684/x
  3. Step 3: Cross multiply
    328,776x = 513,684 × 513,684
  4. Step 4: Simplify right side
    328,776x = 263,871,251,856
  5. Step 5: Solve for x
    x = 263,871,251,856/328,776
  6. Step 6: Final answer
    x = 802,586.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.