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Finding the Third Proportional to 487,315 and 750,003

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Solution

The third proportional to 487,315 and 750,003 is: 1,154,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,315 : 750,003 = 750,003 : x
  2. Step 2: Convert to fraction form
    487,315/750,003 = 750,003/x
  3. Step 3: Cross multiply
    487,315x = 750,003 × 750,003
  4. Step 4: Simplify right side
    487,315x = 562,504,500,009
  5. Step 5: Solve for x
    x = 562,504,500,009/487,315
  6. Step 6: Final answer
    x = 1,154,293.42

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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.