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Finding the Third Proportional to 354,681 and 771,570

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Solution

The third proportional to 354,681 and 771,570 is: 1,678,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,681 : 771,570 = 771,570 : x
  2. Step 2: Convert to fraction form
    354,681/771,570 = 771,570/x
  3. Step 3: Cross multiply
    354,681x = 771,570 × 771,570
  4. Step 4: Simplify right side
    354,681x = 595,320,264,900
  5. Step 5: Solve for x
    x = 595,320,264,900/354,681
  6. Step 6: Final answer
    x = 1,678,466.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.