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Finding the Third Proportional to 428,587,487 and 930,238,270

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Solution

The third proportional to 428,587,487 and 930,238,270 is: 2,019,058,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,587,487 : 930,238,270 = 930,238,270 : x
  2. Step 2: Convert to fraction form
    428,587,487/930,238,270 = 930,238,270/x
  3. Step 3: Cross multiply
    428,587,487x = 930,238,270 × 930,238,270
  4. Step 4: Simplify right side
    428,587,487x = 865,343,238,972,592,896
  5. Step 5: Solve for x
    x = 865,343,238,972,592,896/428,587,487
  6. Step 6: Final answer
    x = 2,019,058,570.82

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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.