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Finding the Third Proportional to 145,681 and 317,839

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Solution

The third proportional to 145,681 and 317,839 is: 693,444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,681 : 317,839 = 317,839 : x
  2. Step 2: Convert to fraction form
    145,681/317,839 = 317,839/x
  3. Step 3: Cross multiply
    145,681x = 317,839 × 317,839
  4. Step 4: Simplify right side
    145,681x = 101,021,629,921
  5. Step 5: Solve for x
    x = 101,021,629,921/145,681
  6. Step 6: Final answer
    x = 693,444.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.