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Finding the Third Proportional to 292,910 and 468,846.50

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Solution

The third proportional to 292,910 and 468,846.50 is: 750,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,910 : 468,846.50 = 468,846.50 : x
  2. Step 2: Convert to fraction form
    292,910/468,846.50 = 468,846.50/x
  3. Step 3: Cross multiply
    292,910x = 468,846.50 × 468,846.50
  4. Step 4: Simplify right side
    292,910x = 219,817,040,562.25
  5. Step 5: Solve for x
    x = 219,817,040,562.25/292,910
  6. Step 6: Final answer
    x = 750,459.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.