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Finding the Third Proportional to 309,935 and 469,581

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Solution

The third proportional to 309,935 and 469,581 is: 711,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,935 : 469,581 = 469,581 : x
  2. Step 2: Convert to fraction form
    309,935/469,581 = 469,581/x
  3. Step 3: Cross multiply
    309,935x = 469,581 × 469,581
  4. Step 4: Simplify right side
    309,935x = 220,506,315,561
  5. Step 5: Solve for x
    x = 220,506,315,561/309,935
  6. Step 6: Final answer
    x = 711,459.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.