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Finding the Third Proportional to 577,260 and 905,545.13

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Solution

The third proportional to 577,260 and 905,545.13 is: 1,420,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,260 : 905,545.13 = 905,545.13 : x
  2. Step 2: Convert to fraction form
    577,260/905,545.13 = 905,545.13/x
  3. Step 3: Cross multiply
    577,260x = 905,545.13 × 905,545.13
  4. Step 4: Simplify right side
    577,260x = 820,011,973,411.27
  5. Step 5: Solve for x
    x = 820,011,973,411.27/577,260
  6. Step 6: Final answer
    x = 1,420,524.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.