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Finding the Third Proportional to 202,428 and 432,880.50

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Solution

The third proportional to 202,428 and 432,880.50 is: 925,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,428 : 432,880.50 = 432,880.50 : x
  2. Step 2: Convert to fraction form
    202,428/432,880.50 = 432,880.50/x
  3. Step 3: Cross multiply
    202,428x = 432,880.50 × 432,880.50
  4. Step 4: Simplify right side
    202,428x = 187,385,527,280.25
  5. Step 5: Solve for x
    x = 187,385,527,280.25/202,428
  6. Step 6: Final answer
    x = 925,689.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.