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Finding the Third Proportional to 438,158 and 705,429

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Solution

The third proportional to 438,158 and 705,429 is: 1,135,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,158 : 705,429 = 705,429 : x
  2. Step 2: Convert to fraction form
    438,158/705,429 = 705,429/x
  3. Step 3: Cross multiply
    438,158x = 705,429 × 705,429
  4. Step 4: Simplify right side
    438,158x = 497,630,074,041
  5. Step 5: Solve for x
    x = 497,630,074,041/438,158
  6. Step 6: Final answer
    x = 1,135,732.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.