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Finding the Third Proportional to 302,810 and 470,202

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Solution

The third proportional to 302,810 and 470,202 is: 730,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,810 : 470,202 = 470,202 : x
  2. Step 2: Convert to fraction form
    302,810/470,202 = 470,202/x
  3. Step 3: Cross multiply
    302,810x = 470,202 × 470,202
  4. Step 4: Simplify right side
    302,810x = 221,089,920,804
  5. Step 5: Solve for x
    x = 221,089,920,804/302,810
  6. Step 6: Final answer
    x = 730,127.54

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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.