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Finding the Third Proportional to 389,611.13 and 598,458.38

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Solution

The third proportional to 389,611.13 and 598,458.38 is: 919,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,611.13 : 598,458.38 = 598,458.38 : x
  2. Step 2: Convert to fraction form
    389,611.13/598,458.38 = 598,458.38/x
  3. Step 3: Cross multiply
    389,611.13x = 598,458.38 × 598,458.38
  4. Step 4: Simplify right side
    389,611.13x = 358,152,426,607.64
  5. Step 5: Solve for x
    x = 358,152,426,607.64/389,611.13
  6. Step 6: Final answer
    x = 919,256.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.