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Finding the Third Proportional to 578,427 and 1,289,658

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Solution

The third proportional to 578,427 and 1,289,658 is: 2,875,415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,427 : 1,289,658 = 1,289,658 : x
  2. Step 2: Convert to fraction form
    578,427/1,289,658 = 1,289,658/x
  3. Step 3: Cross multiply
    578,427x = 1,289,658 × 1,289,658
  4. Step 4: Simplify right side
    578,427x = 1,663,217,756,964
  5. Step 5: Solve for x
    x = 1,663,217,756,964/578,427
  6. Step 6: Final answer
    x = 2,875,415.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.