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Finding the Third Proportional to 528,721,491 and 1,145,280,678

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Solution

The third proportional to 528,721,491 and 1,145,280,678 is: 2,480,829,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,721,491 : 1,145,280,678 = 1,145,280,678 : x
  2. Step 2: Convert to fraction form
    528,721,491/1,145,280,678 = 1,145,280,678/x
  3. Step 3: Cross multiply
    528,721,491x = 1,145,280,678 × 1,145,280,678
  4. Step 4: Simplify right side
    528,721,491x = 1,311,667,831,400,139,776
  5. Step 5: Solve for x
    x = 1,311,667,831,400,139,776/528,721,491
  6. Step 6: Final answer
    x = 2,480,829,422.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.