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Finding the Third Proportional to 359,018 and 545,988

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Solution

The third proportional to 359,018 and 545,988 is: 830,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,018 : 545,988 = 545,988 : x
  2. Step 2: Convert to fraction form
    359,018/545,988 = 545,988/x
  3. Step 3: Cross multiply
    359,018x = 545,988 × 545,988
  4. Step 4: Simplify right side
    359,018x = 298,102,896,144
  5. Step 5: Solve for x
    x = 298,102,896,144/359,018
  6. Step 6: Final answer
    x = 830,328.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.