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Finding the Third Proportional to 287,506 and 630,371

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Solution

The third proportional to 287,506 and 630,371 is: 1,382,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,506 : 630,371 = 630,371 : x
  2. Step 2: Convert to fraction form
    287,506/630,371 = 630,371/x
  3. Step 3: Cross multiply
    287,506x = 630,371 × 630,371
  4. Step 4: Simplify right side
    287,506x = 397,367,597,641
  5. Step 5: Solve for x
    x = 397,367,597,641/287,506
  6. Step 6: Final answer
    x = 1,382,119.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.