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Finding the Third Proportional to 477,216 and 645,792

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Solution

The third proportional to 477,216 and 645,792 is: 873,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,216 : 645,792 = 645,792 : x
  2. Step 2: Convert to fraction form
    477,216/645,792 = 645,792/x
  3. Step 3: Cross multiply
    477,216x = 645,792 × 645,792
  4. Step 4: Simplify right side
    477,216x = 417,047,307,264
  5. Step 5: Solve for x
    x = 417,047,307,264/477,216
  6. Step 6: Final answer
    x = 873,917.28

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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.