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Finding the Third Proportional to 292,109 and 470,291.50

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Solution

The third proportional to 292,109 and 470,291.50 is: 757,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,109 : 470,291.50 = 470,291.50 : x
  2. Step 2: Convert to fraction form
    292,109/470,291.50 = 470,291.50/x
  3. Step 3: Cross multiply
    292,109x = 470,291.50 × 470,291.50
  4. Step 4: Simplify right side
    292,109x = 221,174,094,972.25
  5. Step 5: Solve for x
    x = 221,174,094,972.25/292,109
  6. Step 6: Final answer
    x = 757,162.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.