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Finding the Third Proportional to 458,090 and 673,455

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Solution

The third proportional to 458,090 and 673,455 is: 990,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,090 : 673,455 = 673,455 : x
  2. Step 2: Convert to fraction form
    458,090/673,455 = 673,455/x
  3. Step 3: Cross multiply
    458,090x = 673,455 × 673,455
  4. Step 4: Simplify right side
    458,090x = 453,541,637,025
  5. Step 5: Solve for x
    x = 453,541,637,025/458,090
  6. Step 6: Final answer
    x = 990,071.03

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Why These Related Problems?

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