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Finding the Third Proportional to 407,030 and 598,349

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Solution

The third proportional to 407,030 and 598,349 is: 879,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,030 : 598,349 = 598,349 : x
  2. Step 2: Convert to fraction form
    407,030/598,349 = 598,349/x
  3. Step 3: Cross multiply
    407,030x = 598,349 × 598,349
  4. Step 4: Simplify right side
    407,030x = 358,021,525,801
  5. Step 5: Solve for x
    x = 358,021,525,801/407,030
  6. Step 6: Final answer
    x = 879,594.93

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