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Finding the Third Proportional to 491,281 and 745,784

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Solution

The third proportional to 491,281 and 745,784 is: 1,132,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,281 : 745,784 = 745,784 : x
  2. Step 2: Convert to fraction form
    491,281/745,784 = 745,784/x
  3. Step 3: Cross multiply
    491,281x = 745,784 × 745,784
  4. Step 4: Simplify right side
    491,281x = 556,193,774,656
  5. Step 5: Solve for x
    x = 556,193,774,656/491,281
  6. Step 6: Final answer
    x = 1,132,129.63

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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.