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Finding the Third Proportional to 630,428 and 943,412

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Solution

The third proportional to 630,428 and 943,412 is: 1,411,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,428 : 943,412 = 943,412 : x
  2. Step 2: Convert to fraction form
    630,428/943,412 = 943,412/x
  3. Step 3: Cross multiply
    630,428x = 943,412 × 943,412
  4. Step 4: Simplify right side
    630,428x = 890,026,201,744
  5. Step 5: Solve for x
    x = 890,026,201,744/630,428
  6. Step 6: Final answer
    x = 1,411,780.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.