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Finding the Third Proportional to 145,701 and 317,039

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Solution

The third proportional to 145,701 and 317,039 is: 689,862.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,701 : 317,039 = 317,039 : x
  2. Step 2: Convert to fraction form
    145,701/317,039 = 317,039/x
  3. Step 3: Cross multiply
    145,701x = 317,039 × 317,039
  4. Step 4: Simplify right side
    145,701x = 100,513,727,521
  5. Step 5: Solve for x
    x = 100,513,727,521/145,701
  6. Step 6: Final answer
    x = 689,862.99

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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.