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Finding the Third Proportional to 426,502 and 918,613

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Solution

The third proportional to 426,502 and 918,613 is: 1,978,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,502 : 918,613 = 918,613 : x
  2. Step 2: Convert to fraction form
    426,502/918,613 = 918,613/x
  3. Step 3: Cross multiply
    426,502x = 918,613 × 918,613
  4. Step 4: Simplify right side
    426,502x = 843,849,843,769
  5. Step 5: Solve for x
    x = 843,849,843,769/426,502
  6. Step 6: Final answer
    x = 1,978,536.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.