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Finding the Third Proportional to 688,666.50 and 1,487,990.25

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Solution

The third proportional to 688,666.50 and 1,487,990.25 is: 3,215,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,666.50 : 1,487,990.25 = 1,487,990.25 : x
  2. Step 2: Convert to fraction form
    688,666.50/1,487,990.25 = 1,487,990.25/x
  3. Step 3: Cross multiply
    688,666.50x = 1,487,990.25 × 1,487,990.25
  4. Step 4: Simplify right side
    688,666.50x = 2,214,114,984,095.06
  5. Step 5: Solve for x
    x = 2,214,114,984,095.06/688,666.50
  6. Step 6: Final answer
    x = 3,215,075.78

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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.