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Finding the Third Proportional to 473,742 and 728,178

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Solution

The third proportional to 473,742 and 728,178 is: 1,119,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,742 : 728,178 = 728,178 : x
  2. Step 2: Convert to fraction form
    473,742/728,178 = 728,178/x
  3. Step 3: Cross multiply
    473,742x = 728,178 × 728,178
  4. Step 4: Simplify right side
    473,742x = 530,243,199,684
  5. Step 5: Solve for x
    x = 530,243,199,684/473,742
  6. Step 6: Final answer
    x = 1,119,265.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.