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Finding the Third Proportional to 909,771,720 and 1,300,087,497.75

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Solution

The third proportional to 909,771,720 and 1,300,087,497.75 is: 1,857,858,916.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,771,720 : 1,300,087,497.75 = 1,300,087,497.75 : x
  2. Step 2: Convert to fraction form
    909,771,720/1,300,087,497.75 = 1,300,087,497.75/x
  3. Step 3: Cross multiply
    909,771,720x = 1,300,087,497.75 × 1,300,087,497.75
  4. Step 4: Simplify right side
    909,771,720x = 1,690,227,501,805,856,256
  5. Step 5: Solve for x
    x = 1,690,227,501,805,856,256/909,771,720
  6. Step 6: Final answer
    x = 1,857,858,916.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.