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Finding the Third Proportional to 428,587,476 and 930,238,248

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Solution

The third proportional to 428,587,476 and 930,238,248 is: 2,019,058,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,587,476 : 930,238,248 = 930,238,248 : x
  2. Step 2: Convert to fraction form
    428,587,476/930,238,248 = 930,238,248/x
  3. Step 3: Cross multiply
    428,587,476x = 930,238,248 × 930,238,248
  4. Step 4: Simplify right side
    428,587,476x = 865,343,198,042,109,440
  5. Step 5: Solve for x
    x = 865,343,198,042,109,440/428,587,476
  6. Step 6: Final answer
    x = 2,019,058,527.14

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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.