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Finding the Third Proportional to 909,985 and 1,427,376

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Solution

The third proportional to 909,985 and 1,427,376 is: 2,238,940.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,985 : 1,427,376 = 1,427,376 : x
  2. Step 2: Convert to fraction form
    909,985/1,427,376 = 1,427,376/x
  3. Step 3: Cross multiply
    909,985x = 1,427,376 × 1,427,376
  4. Step 4: Simplify right side
    909,985x = 2,037,402,245,376
  5. Step 5: Solve for x
    x = 2,037,402,245,376/909,985
  6. Step 6: Final answer
    x = 2,238,940.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.