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Finding the Third Proportional to 522,557 and 781,804

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Solution

The third proportional to 522,557 and 781,804 is: 1,169,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,557 : 781,804 = 781,804 : x
  2. Step 2: Convert to fraction form
    522,557/781,804 = 781,804/x
  3. Step 3: Cross multiply
    522,557x = 781,804 × 781,804
  4. Step 4: Simplify right side
    522,557x = 611,217,494,416
  5. Step 5: Solve for x
    x = 611,217,494,416/522,557
  6. Step 6: Final answer
    x = 1,169,666.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.