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Finding the Third Proportional to 647,545 and 971,316

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Solution

The third proportional to 647,545 and 971,316 is: 1,456,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,545 : 971,316 = 971,316 : x
  2. Step 2: Convert to fraction form
    647,545/971,316 = 971,316/x
  3. Step 3: Cross multiply
    647,545x = 971,316 × 971,316
  4. Step 4: Simplify right side
    647,545x = 943,454,771,856
  5. Step 5: Solve for x
    x = 943,454,771,856/647,545
  6. Step 6: Final answer
    x = 1,456,971.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.