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Finding the Third Proportional to 385,428.38 and 565,544.53

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Solution

The third proportional to 385,428.38 and 565,544.53 is: 829,831.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,428.38 : 565,544.53 = 565,544.53 : x
  2. Step 2: Convert to fraction form
    385,428.38/565,544.53 = 565,544.53/x
  3. Step 3: Cross multiply
    385,428.38x = 565,544.53 × 565,544.53
  4. Step 4: Simplify right side
    385,428.38x = 319,840,616,826.78
  5. Step 5: Solve for x
    x = 319,840,616,826.78/385,428.38
  6. Step 6: Final answer
    x = 829,831.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.