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Finding the Third Proportional to 487,311 and 749,996

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Solution

The third proportional to 487,311 and 749,996 is: 1,154,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,311 : 749,996 = 749,996 : x
  2. Step 2: Convert to fraction form
    487,311/749,996 = 749,996/x
  3. Step 3: Cross multiply
    487,311x = 749,996 × 749,996
  4. Step 4: Simplify right side
    487,311x = 562,494,000,016
  5. Step 5: Solve for x
    x = 562,494,000,016/487,311
  6. Step 6: Final answer
    x = 1,154,281.35

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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.