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Finding the Third Proportional to 328,005 and 710,415

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Solution

The third proportional to 328,005 and 710,415 is: 1,538,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,005 : 710,415 = 710,415 : x
  2. Step 2: Convert to fraction form
    328,005/710,415 = 710,415/x
  3. Step 3: Cross multiply
    328,005x = 710,415 × 710,415
  4. Step 4: Simplify right side
    328,005x = 504,689,472,225
  5. Step 5: Solve for x
    x = 504,689,472,225/328,005
  6. Step 6: Final answer
    x = 1,538,663.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.