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Finding the Third Proportional to 310,867,128 and 670,159,347

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Solution

The third proportional to 310,867,128 and 670,159,347 is: 1,444,712,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,867,128 : 670,159,347 = 670,159,347 : x
  2. Step 2: Convert to fraction form
    310,867,128/670,159,347 = 670,159,347/x
  3. Step 3: Cross multiply
    310,867,128x = 670,159,347 × 670,159,347
  4. Step 4: Simplify right side
    310,867,128x = 449,113,550,371,466,432
  5. Step 5: Solve for x
    x = 449,113,550,371,466,432/310,867,128
  6. Step 6: Final answer
    x = 1,444,712,257.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.