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Finding the Third Proportional to 487,269 and 749,921

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Solution

The third proportional to 487,269 and 749,921 is: 1,154,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,269 : 749,921 = 749,921 : x
  2. Step 2: Convert to fraction form
    487,269/749,921 = 749,921/x
  3. Step 3: Cross multiply
    487,269x = 749,921 × 749,921
  4. Step 4: Simplify right side
    487,269x = 562,381,506,241
  5. Step 5: Solve for x
    x = 562,381,506,241/487,269
  6. Step 6: Final answer
    x = 1,154,149.98

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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.