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Finding the Third Proportional to 510,426 and 715,263.75

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Solution

The third proportional to 510,426 and 715,263.75 is: 1,002,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,426 : 715,263.75 = 715,263.75 : x
  2. Step 2: Convert to fraction form
    510,426/715,263.75 = 715,263.75/x
  3. Step 3: Cross multiply
    510,426x = 715,263.75 × 715,263.75
  4. Step 4: Simplify right side
    510,426x = 511,602,232,064.06
  5. Step 5: Solve for x
    x = 511,602,232,064.06/510,426
  6. Step 6: Final answer
    x = 1,002,304.41

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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.