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Finding the Third Proportional to 509,788,091.75 and 787,201,960

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Solution

The third proportional to 509,788,091.75 and 787,201,960 is: 1,215,577,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,788,091.75 : 787,201,960 = 787,201,960 : x
  2. Step 2: Convert to fraction form
    509,788,091.75/787,201,960 = 787,201,960/x
  3. Step 3: Cross multiply
    509,788,091.75x = 787,201,960 × 787,201,960
  4. Step 4: Simplify right side
    509,788,091.75x = 619,686,925,827,841,536
  5. Step 5: Solve for x
    x = 619,686,925,827,841,536/509,788,091.75
  6. Step 6: Final answer
    x = 1,215,577,483.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.