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Finding the Third Proportional to 590,520 and 916,128

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Solution

The third proportional to 590,520 and 916,128 is: 1,421,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,520 : 916,128 = 916,128 : x
  2. Step 2: Convert to fraction form
    590,520/916,128 = 916,128/x
  3. Step 3: Cross multiply
    590,520x = 916,128 × 916,128
  4. Step 4: Simplify right side
    590,520x = 839,290,512,384
  5. Step 5: Solve for x
    x = 839,290,512,384/590,520
  6. Step 6: Final answer
    x = 1,421,273.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.