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Finding the Third Proportional to 614,128 and 947,440

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Solution

The third proportional to 614,128 and 947,440 is: 1,461,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,128 : 947,440 = 947,440 : x
  2. Step 2: Convert to fraction form
    614,128/947,440 = 947,440/x
  3. Step 3: Cross multiply
    614,128x = 947,440 × 947,440
  4. Step 4: Simplify right side
    614,128x = 897,642,553,600
  5. Step 5: Solve for x
    x = 897,642,553,600/614,128
  6. Step 6: Final answer
    x = 1,461,653.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.