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Finding the Third Proportional to 130,426 and 285,854

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Solution

The third proportional to 130,426 and 285,854 is: 626,504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,426 : 285,854 = 285,854 : x
  2. Step 2: Convert to fraction form
    130,426/285,854 = 285,854/x
  3. Step 3: Cross multiply
    130,426x = 285,854 × 285,854
  4. Step 4: Simplify right side
    130,426x = 81,712,509,316
  5. Step 5: Solve for x
    x = 81,712,509,316/130,426
  6. Step 6: Final answer
    x = 626,504.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.