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Finding the Third Proportional to 215,752 and 458,720

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Solution

The third proportional to 215,752 and 458,720 is: 975,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,752 : 458,720 = 458,720 : x
  2. Step 2: Convert to fraction form
    215,752/458,720 = 458,720/x
  3. Step 3: Cross multiply
    215,752x = 458,720 × 458,720
  4. Step 4: Simplify right side
    215,752x = 210,424,038,400
  5. Step 5: Solve for x
    x = 210,424,038,400/215,752
  6. Step 6: Final answer
    x = 975,305.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.