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Finding the Third Proportional to 387,000 and 598,005

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Solution

The third proportional to 387,000 and 598,005 is: 924,056.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,000 : 598,005 = 598,005 : x
  2. Step 2: Convert to fraction form
    387,000/598,005 = 598,005/x
  3. Step 3: Cross multiply
    387,000x = 598,005 × 598,005
  4. Step 4: Simplify right side
    387,000x = 357,609,980,025
  5. Step 5: Solve for x
    x = 357,609,980,025/387,000
  6. Step 6: Final answer
    x = 924,056.80

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