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Finding the Third Proportional to 477,008 and 645,528

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Solution

The third proportional to 477,008 and 645,528 is: 873,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,008 : 645,528 = 645,528 : x
  2. Step 2: Convert to fraction form
    477,008/645,528 = 645,528/x
  3. Step 3: Cross multiply
    477,008x = 645,528 × 645,528
  4. Step 4: Simplify right side
    477,008x = 416,706,398,784
  5. Step 5: Solve for x
    x = 416,706,398,784/477,008
  6. Step 6: Final answer
    x = 873,583.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.