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Finding the Third Proportional to 787,431 and 1,221,592.50

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Solution

The third proportional to 787,431 and 1,221,592.50 is: 1,895,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,431 : 1,221,592.50 = 1,221,592.50 : x
  2. Step 2: Convert to fraction form
    787,431/1,221,592.50 = 1,221,592.50/x
  3. Step 3: Cross multiply
    787,431x = 1,221,592.50 × 1,221,592.50
  4. Step 4: Simplify right side
    787,431x = 1,492,288,236,056.25
  5. Step 5: Solve for x
    x = 1,492,288,236,056.25/787,431
  6. Step 6: Final answer
    x = 1,895,135.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.