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Finding the Third Proportional to 653,143 and 989,558

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Solution

The third proportional to 653,143 and 989,558 is: 1,499,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,143 : 989,558 = 989,558 : x
  2. Step 2: Convert to fraction form
    653,143/989,558 = 989,558/x
  3. Step 3: Cross multiply
    653,143x = 989,558 × 989,558
  4. Step 4: Simplify right side
    653,143x = 979,225,035,364
  5. Step 5: Solve for x
    x = 979,225,035,364/653,143
  6. Step 6: Final answer
    x = 1,499,250.60

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Why These Related Problems?

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