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Finding the Third Proportional to 430,368 and 939,468

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Solution

The third proportional to 430,368 and 939,468 is: 2,050,803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,368 : 939,468 = 939,468 : x
  2. Step 2: Convert to fraction form
    430,368/939,468 = 939,468/x
  3. Step 3: Cross multiply
    430,368x = 939,468 × 939,468
  4. Step 4: Simplify right side
    430,368x = 882,600,123,024
  5. Step 5: Solve for x
    x = 882,600,123,024/430,368
  6. Step 6: Final answer
    x = 2,050,803.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.