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Finding the Third Proportional to 469,856 and 715,800

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Solution

The third proportional to 469,856 and 715,800 is: 1,090,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,856 : 715,800 = 715,800 : x
  2. Step 2: Convert to fraction form
    469,856/715,800 = 715,800/x
  3. Step 3: Cross multiply
    469,856x = 715,800 × 715,800
  4. Step 4: Simplify right side
    469,856x = 512,369,640,000
  5. Step 5: Solve for x
    x = 512,369,640,000/469,856
  6. Step 6: Final answer
    x = 1,090,482.28

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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.