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Finding the Third Proportional to 328,362 and 712,772

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Solution

The third proportional to 328,362 and 712,772 is: 1,547,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,362 : 712,772 = 712,772 : x
  2. Step 2: Convert to fraction form
    328,362/712,772 = 712,772/x
  3. Step 3: Cross multiply
    328,362x = 712,772 × 712,772
  4. Step 4: Simplify right side
    328,362x = 508,043,923,984
  5. Step 5: Solve for x
    x = 508,043,923,984/328,362
  6. Step 6: Final answer
    x = 1,547,206.81

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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.