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Finding the Third Proportional to 147,784 and 316,572

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Solution

The third proportional to 147,784 and 316,572 is: 678,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,784 : 316,572 = 316,572 : x
  2. Step 2: Convert to fraction form
    147,784/316,572 = 316,572/x
  3. Step 3: Cross multiply
    147,784x = 316,572 × 316,572
  4. Step 4: Simplify right side
    147,784x = 100,217,831,184
  5. Step 5: Solve for x
    x = 100,217,831,184/147,784
  6. Step 6: Final answer
    x = 678,137.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.