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Finding the Third Proportional to 456,990 and 711,514

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Solution

The third proportional to 456,990 and 711,514 is: 1,107,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,990 : 711,514 = 711,514 : x
  2. Step 2: Convert to fraction form
    456,990/711,514 = 711,514/x
  3. Step 3: Cross multiply
    456,990x = 711,514 × 711,514
  4. Step 4: Simplify right side
    456,990x = 506,252,172,196
  5. Step 5: Solve for x
    x = 506,252,172,196/456,990
  6. Step 6: Final answer
    x = 1,107,797.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.