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Finding the Third Proportional to 296,488 and 459,780

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Solution

The third proportional to 296,488 and 459,780 is: 713,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,488 : 459,780 = 459,780 : x
  2. Step 2: Convert to fraction form
    296,488/459,780 = 459,780/x
  3. Step 3: Cross multiply
    296,488x = 459,780 × 459,780
  4. Step 4: Simplify right side
    296,488x = 211,397,648,400
  5. Step 5: Solve for x
    x = 211,397,648,400/296,488
  6. Step 6: Final answer
    x = 713,005.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.