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Finding the Third Proportional to 426,528 and 987,416

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Solution

The third proportional to 426,528 and 987,416 is: 2,285,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,528 : 987,416 = 987,416 : x
  2. Step 2: Convert to fraction form
    426,528/987,416 = 987,416/x
  3. Step 3: Cross multiply
    426,528x = 987,416 × 987,416
  4. Step 4: Simplify right side
    426,528x = 974,990,357,056
  5. Step 5: Solve for x
    x = 974,990,357,056/426,528
  6. Step 6: Final answer
    x = 2,285,876.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.