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Finding the Third Proportional to 617,319 and 881,072

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Solution

The third proportional to 617,319 and 881,072 is: 1,257,514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,319 : 881,072 = 881,072 : x
  2. Step 2: Convert to fraction form
    617,319/881,072 = 881,072/x
  3. Step 3: Cross multiply
    617,319x = 881,072 × 881,072
  4. Step 4: Simplify right side
    617,319x = 776,287,869,184
  5. Step 5: Solve for x
    x = 776,287,869,184/617,319
  6. Step 6: Final answer
    x = 1,257,514.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.