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Finding the Third Proportional to 487,312.50 and 730,968.75

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Solution

The third proportional to 487,312.50 and 730,968.75 is: 1,096,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,312.50 : 730,968.75 = 730,968.75 : x
  2. Step 2: Convert to fraction form
    487,312.50/730,968.75 = 730,968.75/x
  3. Step 3: Cross multiply
    487,312.50x = 730,968.75 × 730,968.75
  4. Step 4: Simplify right side
    487,312.50x = 534,315,313,476.56
  5. Step 5: Solve for x
    x = 534,315,313,476.56/487,312.50
  6. Step 6: Final answer
    x = 1,096,453.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.