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Finding the Third Proportional to 218,283 and 458,598

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Solution

The third proportional to 218,283 and 458,598 is: 963,483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,283 : 458,598 = 458,598 : x
  2. Step 2: Convert to fraction form
    218,283/458,598 = 458,598/x
  3. Step 3: Cross multiply
    218,283x = 458,598 × 458,598
  4. Step 4: Simplify right side
    218,283x = 210,312,125,604
  5. Step 5: Solve for x
    x = 210,312,125,604/218,283
  6. Step 6: Final answer
    x = 963,483.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.