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Finding the Third Proportional to 302,810 and 655,785

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Solution

The third proportional to 302,810 and 655,785 is: 1,420,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,810 : 655,785 = 655,785 : x
  2. Step 2: Convert to fraction form
    302,810/655,785 = 655,785/x
  3. Step 3: Cross multiply
    302,810x = 655,785 × 655,785
  4. Step 4: Simplify right side
    302,810x = 430,053,966,225
  5. Step 5: Solve for x
    x = 430,053,966,225/302,810
  6. Step 6: Final answer
    x = 1,420,210.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.