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Finding the Third Proportional to 485,397 and 750,811.50

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Solution

The third proportional to 485,397 and 750,811.50 is: 1,161,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,397 : 750,811.50 = 750,811.50 : x
  2. Step 2: Convert to fraction form
    485,397/750,811.50 = 750,811.50/x
  3. Step 3: Cross multiply
    485,397x = 750,811.50 × 750,811.50
  4. Step 4: Simplify right side
    485,397x = 563,717,908,532.25
  5. Step 5: Solve for x
    x = 563,717,908,532.25/485,397
  6. Step 6: Final answer
    x = 1,161,354.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.