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Finding the Third Proportional to 402,426 and 544,590

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Solution

The third proportional to 402,426 and 544,590 is: 736,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,426 : 544,590 = 544,590 : x
  2. Step 2: Convert to fraction form
    402,426/544,590 = 544,590/x
  3. Step 3: Cross multiply
    402,426x = 544,590 × 544,590
  4. Step 4: Simplify right side
    402,426x = 296,578,268,100
  5. Step 5: Solve for x
    x = 296,578,268,100/402,426
  6. Step 6: Final answer
    x = 736,975.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.