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Finding the Third Proportional to 1,037,376 and 1,577,384

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Solution

The third proportional to 1,037,376 and 1,577,384 is: 2,398,494.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,376 : 1,577,384 = 1,577,384 : x
  2. Step 2: Convert to fraction form
    1,037,376/1,577,384 = 1,577,384/x
  3. Step 3: Cross multiply
    1,037,376x = 1,577,384 × 1,577,384
  4. Step 4: Simplify right side
    1,037,376x = 2,488,140,283,456
  5. Step 5: Solve for x
    x = 2,488,140,283,456/1,037,376
  6. Step 6: Final answer
    x = 2,398,494.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.