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Finding the Third Proportional to 143,526 and 314,259

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Solution

The third proportional to 143,526 and 314,259 is: 688,089.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,526 : 314,259 = 314,259 : x
  2. Step 2: Convert to fraction form
    143,526/314,259 = 314,259/x
  3. Step 3: Cross multiply
    143,526x = 314,259 × 314,259
  4. Step 4: Simplify right side
    143,526x = 98,758,719,081
  5. Step 5: Solve for x
    x = 98,758,719,081/143,526
  6. Step 6: Final answer
    x = 688,089.40

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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.