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Finding the Third Proportional to 144,698.50 and 312,791

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Solution

The third proportional to 144,698.50 and 312,791 is: 676,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,698.50 : 312,791 = 312,791 : x
  2. Step 2: Convert to fraction form
    144,698.50/312,791 = 312,791/x
  3. Step 3: Cross multiply
    144,698.50x = 312,791 × 312,791
  4. Step 4: Simplify right side
    144,698.50x = 97,838,209,681
  5. Step 5: Solve for x
    x = 97,838,209,681/144,698.50
  6. Step 6: Final answer
    x = 676,152.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.