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Finding the Third Proportional to 473,748 and 728,919

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Solution

The third proportional to 473,748 and 728,919 is: 1,121,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,748 : 728,919 = 728,919 : x
  2. Step 2: Convert to fraction form
    473,748/728,919 = 728,919/x
  3. Step 3: Cross multiply
    473,748x = 728,919 × 728,919
  4. Step 4: Simplify right side
    473,748x = 531,322,908,561
  5. Step 5: Solve for x
    x = 531,322,908,561/473,748
  6. Step 6: Final answer
    x = 1,121,530.66

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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.