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Finding the Third Proportional to 858,078 and 1,285,461

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Solution

The third proportional to 858,078 and 1,285,461 is: 1,925,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,078 : 1,285,461 = 1,285,461 : x
  2. Step 2: Convert to fraction form
    858,078/1,285,461 = 1,285,461/x
  3. Step 3: Cross multiply
    858,078x = 1,285,461 × 1,285,461
  4. Step 4: Simplify right side
    858,078x = 1,652,409,982,521
  5. Step 5: Solve for x
    x = 1,652,409,982,521/858,078
  6. Step 6: Final answer
    x = 1,925,710.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.