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Finding the Third Proportional to 513,508.50 and 1,108,209

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Solution

The third proportional to 513,508.50 and 1,108,209 is: 2,391,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,508.50 : 1,108,209 = 1,108,209 : x
  2. Step 2: Convert to fraction form
    513,508.50/1,108,209 = 1,108,209/x
  3. Step 3: Cross multiply
    513,508.50x = 1,108,209 × 1,108,209
  4. Step 4: Simplify right side
    513,508.50x = 1,228,127,187,681
  5. Step 5: Solve for x
    x = 1,228,127,187,681/513,508.50
  6. Step 6: Final answer
    x = 2,391,639.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.