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Finding the Third Proportional to 558,854 and 885,309

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Solution

The third proportional to 558,854 and 885,309 is: 1,402,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,854 : 885,309 = 885,309 : x
  2. Step 2: Convert to fraction form
    558,854/885,309 = 885,309/x
  3. Step 3: Cross multiply
    558,854x = 885,309 × 885,309
  4. Step 4: Simplify right side
    558,854x = 783,772,025,481
  5. Step 5: Solve for x
    x = 783,772,025,481/558,854
  6. Step 6: Final answer
    x = 1,402,462.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.