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Finding the Third Proportional to 145,749 and 318,749

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Solution

The third proportional to 145,749 and 318,749 is: 697,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,749 : 318,749 = 318,749 : x
  2. Step 2: Convert to fraction form
    145,749/318,749 = 318,749/x
  3. Step 3: Cross multiply
    145,749x = 318,749 × 318,749
  4. Step 4: Simplify right side
    145,749x = 101,600,925,001
  5. Step 5: Solve for x
    x = 101,600,925,001/145,749
  6. Step 6: Final answer
    x = 697,095.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.