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Finding the Third Proportional to 442,948.50 and 977,265

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Solution

The third proportional to 442,948.50 and 977,265 is: 2,156,112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,948.50 : 977,265 = 977,265 : x
  2. Step 2: Convert to fraction form
    442,948.50/977,265 = 977,265/x
  3. Step 3: Cross multiply
    442,948.50x = 977,265 × 977,265
  4. Step 4: Simplify right side
    442,948.50x = 955,046,880,225
  5. Step 5: Solve for x
    x = 955,046,880,225/442,948.50
  6. Step 6: Final answer
    x = 2,156,112.69

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.