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Finding the Third Proportional to 328,948.50 and 720,718.50

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Solution

The third proportional to 328,948.50 and 720,718.50 is: 1,579,077.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,948.50 : 720,718.50 = 720,718.50 : x
  2. Step 2: Convert to fraction form
    328,948.50/720,718.50 = 720,718.50/x
  3. Step 3: Cross multiply
    328,948.50x = 720,718.50 × 720,718.50
  4. Step 4: Simplify right side
    328,948.50x = 519,435,156,242.25
  5. Step 5: Solve for x
    x = 519,435,156,242.25/328,948.50
  6. Step 6: Final answer
    x = 1,579,077.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.