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Finding the Third Proportional to 781,932 and 1,208,812.50

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Solution

The third proportional to 781,932 and 1,208,812.50 is: 1,868,740.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,932 : 1,208,812.50 = 1,208,812.50 : x
  2. Step 2: Convert to fraction form
    781,932/1,208,812.50 = 1,208,812.50/x
  3. Step 3: Cross multiply
    781,932x = 1,208,812.50 × 1,208,812.50
  4. Step 4: Simplify right side
    781,932x = 1,461,227,660,156.25
  5. Step 5: Solve for x
    x = 1,461,227,660,156.25/781,932
  6. Step 6: Final answer
    x = 1,868,740.07

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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.