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Finding the Third Proportional to 348,720 and 538,854

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Solution

The third proportional to 348,720 and 538,854 is: 832,655.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,720 : 538,854 = 538,854 : x
  2. Step 2: Convert to fraction form
    348,720/538,854 = 538,854/x
  3. Step 3: Cross multiply
    348,720x = 538,854 × 538,854
  4. Step 4: Simplify right side
    348,720x = 290,363,633,316
  5. Step 5: Solve for x
    x = 290,363,633,316/348,720
  6. Step 6: Final answer
    x = 832,655.52

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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.