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Finding the Third Proportional to 282,428 and 432,660

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Solution

The third proportional to 282,428 and 432,660 is: 662,804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,428 : 432,660 = 432,660 : x
  2. Step 2: Convert to fraction form
    282,428/432,660 = 432,660/x
  3. Step 3: Cross multiply
    282,428x = 432,660 × 432,660
  4. Step 4: Simplify right side
    282,428x = 187,194,675,600
  5. Step 5: Solve for x
    x = 187,194,675,600/282,428
  6. Step 6: Final answer
    x = 662,804.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.