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Finding the Third Proportional to 578,020 and 920,539

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Solution

The third proportional to 578,020 and 920,539 is: 1,466,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,020 : 920,539 = 920,539 : x
  2. Step 2: Convert to fraction form
    578,020/920,539 = 920,539/x
  3. Step 3: Cross multiply
    578,020x = 920,539 × 920,539
  4. Step 4: Simplify right side
    578,020x = 847,392,050,521
  5. Step 5: Solve for x
    x = 847,392,050,521/578,020
  6. Step 6: Final answer
    x = 1,466,025.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.