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Finding the Third Proportional to 346,280 and 756,640

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Solution

The third proportional to 346,280 and 756,640 is: 1,653,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,280 : 756,640 = 756,640 : x
  2. Step 2: Convert to fraction form
    346,280/756,640 = 756,640/x
  3. Step 3: Cross multiply
    346,280x = 756,640 × 756,640
  4. Step 4: Simplify right side
    346,280x = 572,504,089,600
  5. Step 5: Solve for x
    x = 572,504,089,600/346,280
  6. Step 6: Final answer
    x = 1,653,298.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.