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Finding the Third Proportional to 258,715.27 and 403,809.05

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Solution

The third proportional to 258,715.27 and 403,809.05 is: 630,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,715.27 : 403,809.05 = 403,809.05 : x
  2. Step 2: Convert to fraction form
    258,715.27/403,809.05 = 403,809.05/x
  3. Step 3: Cross multiply
    258,715.27x = 403,809.05 × 403,809.05
  4. Step 4: Simplify right side
    258,715.27x = 163,061,746,338.10
  5. Step 5: Solve for x
    x = 163,061,746,338.10/258,715.27
  6. Step 6: Final answer
    x = 630,274.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.