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Finding the Third Proportional to 478,926.50 and 720,407.50

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Solution

The third proportional to 478,926.50 and 720,407.50 is: 1,083,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,926.50 : 720,407.50 = 720,407.50 : x
  2. Step 2: Convert to fraction form
    478,926.50/720,407.50 = 720,407.50/x
  3. Step 3: Cross multiply
    478,926.50x = 720,407.50 × 720,407.50
  4. Step 4: Simplify right side
    478,926.50x = 518,986,966,056.25
  5. Step 5: Solve for x
    x = 518,986,966,056.25/478,926.50
  6. Step 6: Final answer
    x = 1,083,646.38

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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.