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Finding the Third Proportional to 282,430 and 432,663

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Solution

The third proportional to 282,430 and 432,663 is: 662,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,430 : 432,663 = 432,663 : x
  2. Step 2: Convert to fraction form
    282,430/432,663 = 432,663/x
  3. Step 3: Cross multiply
    282,430x = 432,663 × 432,663
  4. Step 4: Simplify right side
    282,430x = 187,197,271,569
  5. Step 5: Solve for x
    x = 187,197,271,569/282,430
  6. Step 6: Final answer
    x = 662,809.45

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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.