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Finding the Third Proportional to 646,026 and 905,280

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Solution

The third proportional to 646,026 and 905,280 is: 1,268,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,026 : 905,280 = 905,280 : x
  2. Step 2: Convert to fraction form
    646,026/905,280 = 905,280/x
  3. Step 3: Cross multiply
    646,026x = 905,280 × 905,280
  4. Step 4: Simplify right side
    646,026x = 819,531,878,400
  5. Step 5: Solve for x
    x = 819,531,878,400/646,026
  6. Step 6: Final answer
    x = 1,268,574.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.