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Finding the Third Proportional to 640,010 and 1,400,548

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Solution

The third proportional to 640,010 and 1,400,548 is: 3,064,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,010 : 1,400,548 = 1,400,548 : x
  2. Step 2: Convert to fraction form
    640,010/1,400,548 = 1,400,548/x
  3. Step 3: Cross multiply
    640,010x = 1,400,548 × 1,400,548
  4. Step 4: Simplify right side
    640,010x = 1,961,534,700,304
  5. Step 5: Solve for x
    x = 1,961,534,700,304/640,010
  6. Step 6: Final answer
    x = 3,064,850.08

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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.