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Finding the Third Proportional to 647,406 and 947,646

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Solution

The third proportional to 647,406 and 947,646 is: 1,387,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,406 : 947,646 = 947,646 : x
  2. Step 2: Convert to fraction form
    647,406/947,646 = 947,646/x
  3. Step 3: Cross multiply
    647,406x = 947,646 × 947,646
  4. Step 4: Simplify right side
    647,406x = 898,032,941,316
  5. Step 5: Solve for x
    x = 898,032,941,316/647,406
  6. Step 6: Final answer
    x = 1,387,124.84

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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.