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Finding the Third Proportional to 558,020,575 and 918,839,242.50

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Solution

The third proportional to 558,020,575 and 918,839,242.50 is: 1,512,964,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,020,575 : 918,839,242.50 = 918,839,242.50 : x
  2. Step 2: Convert to fraction form
    558,020,575/918,839,242.50 = 918,839,242.50/x
  3. Step 3: Cross multiply
    558,020,575x = 918,839,242.50 × 918,839,242.50
  4. Step 4: Simplify right side
    558,020,575x = 844,265,553,557,973,760
  5. Step 5: Solve for x
    x = 844,265,553,557,973,760/558,020,575
  6. Step 6: Final answer
    x = 1,512,964,918.11

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.