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Finding the Third Proportional to 577,540 and 921,606

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Solution

The third proportional to 577,540 and 921,606 is: 1,470,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,540 : 921,606 = 921,606 : x
  2. Step 2: Convert to fraction form
    577,540/921,606 = 921,606/x
  3. Step 3: Cross multiply
    577,540x = 921,606 × 921,606
  4. Step 4: Simplify right side
    577,540x = 849,357,619,236
  5. Step 5: Solve for x
    x = 849,357,619,236/577,540
  6. Step 6: Final answer
    x = 1,470,647.26

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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.