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Finding the Third Proportional to 633,312 and 991,440

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Solution

The third proportional to 633,312 and 991,440 is: 1,552,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,312 : 991,440 = 991,440 : x
  2. Step 2: Convert to fraction form
    633,312/991,440 = 991,440/x
  3. Step 3: Cross multiply
    633,312x = 991,440 × 991,440
  4. Step 4: Simplify right side
    633,312x = 982,953,273,600
  5. Step 5: Solve for x
    x = 982,953,273,600/633,312
  6. Step 6: Final answer
    x = 1,552,083.77

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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.