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Finding the Third Proportional to 152,613 and 209,129

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Solution

The third proportional to 152,613 and 209,129 is: 286,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,613 : 209,129 = 209,129 : x
  2. Step 2: Convert to fraction form
    152,613/209,129 = 209,129/x
  3. Step 3: Cross multiply
    152,613x = 209,129 × 209,129
  4. Step 4: Simplify right side
    152,613x = 43,734,938,641
  5. Step 5: Solve for x
    x = 43,734,938,641/152,613
  6. Step 6: Final answer
    x = 286,574.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.