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Finding the Third Proportional to 540,678 and 790,473

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Solution

The third proportional to 540,678 and 790,473 is: 1,155,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,678 : 790,473 = 790,473 : x
  2. Step 2: Convert to fraction form
    540,678/790,473 = 790,473/x
  3. Step 3: Cross multiply
    540,678x = 790,473 × 790,473
  4. Step 4: Simplify right side
    540,678x = 624,847,563,729
  5. Step 5: Solve for x
    x = 624,847,563,729/540,678
  6. Step 6: Final answer
    x = 1,155,674.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.