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Finding the Third Proportional to 150,681 and 316,878

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Solution

The third proportional to 150,681 and 316,878 is: 666,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,681 : 316,878 = 316,878 : x
  2. Step 2: Convert to fraction form
    150,681/316,878 = 316,878/x
  3. Step 3: Cross multiply
    150,681x = 316,878 × 316,878
  4. Step 4: Simplify right side
    150,681x = 100,411,666,884
  5. Step 5: Solve for x
    x = 100,411,666,884/150,681
  6. Step 6: Final answer
    x = 666,385.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.