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Finding the Third Proportional to 312,754 and 686,402

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Solution

The third proportional to 312,754 and 686,402 is: 1,506,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,754 : 686,402 = 686,402 : x
  2. Step 2: Convert to fraction form
    312,754/686,402 = 686,402/x
  3. Step 3: Cross multiply
    312,754x = 686,402 × 686,402
  4. Step 4: Simplify right side
    312,754x = 471,147,705,604
  5. Step 5: Solve for x
    x = 471,147,705,604/312,754
  6. Step 6: Final answer
    x = 1,506,448.22

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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.