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Finding the Third Proportional to 145,332 and 312,926

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Solution

The third proportional to 145,332 and 312,926 is: 673,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,332 : 312,926 = 312,926 : x
  2. Step 2: Convert to fraction form
    145,332/312,926 = 312,926/x
  3. Step 3: Cross multiply
    145,332x = 312,926 × 312,926
  4. Step 4: Simplify right side
    145,332x = 97,922,681,476
  5. Step 5: Solve for x
    x = 97,922,681,476/145,332
  6. Step 6: Final answer
    x = 673,786.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.