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Finding the Third Proportional to 651,428 and 929,820

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Solution

The third proportional to 651,428 and 929,820 is: 1,327,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,428 : 929,820 = 929,820 : x
  2. Step 2: Convert to fraction form
    651,428/929,820 = 929,820/x
  3. Step 3: Cross multiply
    651,428x = 929,820 × 929,820
  4. Step 4: Simplify right side
    651,428x = 864,565,232,400
  5. Step 5: Solve for x
    x = 864,565,232,400/651,428
  6. Step 6: Final answer
    x = 1,327,184.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.