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Finding the Third Proportional to 712,168,240.50 and 1,075,694,215.50

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Solution

The third proportional to 712,168,240.50 and 1,075,694,215.50 is: 1,624,781,869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,168,240.50 : 1,075,694,215.50 = 1,075,694,215.50 : x
  2. Step 2: Convert to fraction form
    712,168,240.50/1,075,694,215.50 = 1,075,694,215.50/x
  3. Step 3: Cross multiply
    712,168,240.50x = 1,075,694,215.50 × 1,075,694,215.50
  4. Step 4: Simplify right side
    712,168,240.50x = 1,157,118,045,260,160,512
  5. Step 5: Solve for x
    x = 1,157,118,045,260,160,512/712,168,240.50
  6. Step 6: Final answer
    x = 1,624,781,869.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.