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Finding the Third Proportional to 261,440 and 403,905

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Solution

The third proportional to 261,440 and 403,905 is: 624,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,440 : 403,905 = 403,905 : x
  2. Step 2: Convert to fraction form
    261,440/403,905 = 403,905/x
  3. Step 3: Cross multiply
    261,440x = 403,905 × 403,905
  4. Step 4: Simplify right side
    261,440x = 163,139,249,025
  5. Step 5: Solve for x
    x = 163,139,249,025/261,440
  6. Step 6: Final answer
    x = 624,002.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.