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Finding the Third Proportional to 328,903.50 and 719,317.50

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Solution

The third proportional to 328,903.50 and 719,317.50 is: 1,573,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,903.50 : 719,317.50 = 719,317.50 : x
  2. Step 2: Convert to fraction form
    328,903.50/719,317.50 = 719,317.50/x
  3. Step 3: Cross multiply
    328,903.50x = 719,317.50 × 719,317.50
  4. Step 4: Simplify right side
    328,903.50x = 517,417,665,806.25
  5. Step 5: Solve for x
    x = 517,417,665,806.25/328,903.50
  6. Step 6: Final answer
    x = 1,573,159.50

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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.