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Finding the Third Proportional to 215,875 and 458,056

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Solution

The third proportional to 215,875 and 458,056 is: 971,929.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,875 : 458,056 = 458,056 : x
  2. Step 2: Convert to fraction form
    215,875/458,056 = 458,056/x
  3. Step 3: Cross multiply
    215,875x = 458,056 × 458,056
  4. Step 4: Simplify right side
    215,875x = 209,815,299,136
  5. Step 5: Solve for x
    x = 209,815,299,136/215,875
  6. Step 6: Final answer
    x = 971,929.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.