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Finding the Third Proportional to 746,271 and 1,183,582.50

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Solution

The third proportional to 746,271 and 1,183,582.50 is: 1,877,156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,271 : 1,183,582.50 = 1,183,582.50 : x
  2. Step 2: Convert to fraction form
    746,271/1,183,582.50 = 1,183,582.50/x
  3. Step 3: Cross multiply
    746,271x = 1,183,582.50 × 1,183,582.50
  4. Step 4: Simplify right side
    746,271x = 1,400,867,534,306.25
  5. Step 5: Solve for x
    x = 1,400,867,534,306.25/746,271
  6. Step 6: Final answer
    x = 1,877,156.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.