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Finding the Third Proportional to 302,810 and 470,205.75

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Solution

The third proportional to 302,810 and 470,205.75 is: 730,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,810 : 470,205.75 = 470,205.75 : x
  2. Step 2: Convert to fraction form
    302,810/470,205.75 = 470,205.75/x
  3. Step 3: Cross multiply
    302,810x = 470,205.75 × 470,205.75
  4. Step 4: Simplify right side
    302,810x = 221,093,447,333.06
  5. Step 5: Solve for x
    x = 221,093,447,333.06/302,810
  6. Step 6: Final answer
    x = 730,139.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.