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Finding the Third Proportional to 487,273 and 749,927

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Solution

The third proportional to 487,273 and 749,927 is: 1,154,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,273 : 749,927 = 749,927 : x
  2. Step 2: Convert to fraction form
    487,273/749,927 = 749,927/x
  3. Step 3: Cross multiply
    487,273x = 749,927 × 749,927
  4. Step 4: Simplify right side
    487,273x = 562,390,505,329
  5. Step 5: Solve for x
    x = 562,390,505,329/487,273
  6. Step 6: Final answer
    x = 1,154,158.97

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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.