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Finding the Third Proportional to 417,010 and 915,213

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Solution

The third proportional to 417,010 and 915,213 is: 2,008,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,010 : 915,213 = 915,213 : x
  2. Step 2: Convert to fraction form
    417,010/915,213 = 915,213/x
  3. Step 3: Cross multiply
    417,010x = 915,213 × 915,213
  4. Step 4: Simplify right side
    417,010x = 837,614,835,369
  5. Step 5: Solve for x
    x = 837,614,835,369/417,010
  6. Step 6: Final answer
    x = 2,008,620.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.