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Finding the Third Proportional to 328,681.50 and 690,564

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Solution

The third proportional to 328,681.50 and 690,564 is: 1,450,883.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,681.50 : 690,564 = 690,564 : x
  2. Step 2: Convert to fraction form
    328,681.50/690,564 = 690,564/x
  3. Step 3: Cross multiply
    328,681.50x = 690,564 × 690,564
  4. Step 4: Simplify right side
    328,681.50x = 476,878,638,096
  5. Step 5: Solve for x
    x = 476,878,638,096/328,681.50
  6. Step 6: Final answer
    x = 1,450,883.72

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.