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Finding the Third Proportional to 354,528 and 775,808

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Solution

The third proportional to 354,528 and 775,808 is: 1,697,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,528 : 775,808 = 775,808 : x
  2. Step 2: Convert to fraction form
    354,528/775,808 = 775,808/x
  3. Step 3: Cross multiply
    354,528x = 775,808 × 775,808
  4. Step 4: Simplify right side
    354,528x = 601,878,052,864
  5. Step 5: Solve for x
    x = 601,878,052,864/354,528
  6. Step 6: Final answer
    x = 1,697,688.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.