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Finding the Third Proportional to 819,217 and 1,271,957.50

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Solution

The third proportional to 819,217 and 1,271,957.50 is: 1,974,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,217 : 1,271,957.50 = 1,271,957.50 : x
  2. Step 2: Convert to fraction form
    819,217/1,271,957.50 = 1,271,957.50/x
  3. Step 3: Cross multiply
    819,217x = 1,271,957.50 × 1,271,957.50
  4. Step 4: Simplify right side
    819,217x = 1,617,875,881,806.25
  5. Step 5: Solve for x
    x = 1,617,875,881,806.25/819,217
  6. Step 6: Final answer
    x = 1,974,905.16

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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.