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Finding the Third Proportional to 302,780 and 657,076

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Solution

The third proportional to 302,780 and 657,076 is: 1,425,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,780 : 657,076 = 657,076 : x
  2. Step 2: Convert to fraction form
    302,780/657,076 = 657,076/x
  3. Step 3: Cross multiply
    302,780x = 657,076 × 657,076
  4. Step 4: Simplify right side
    302,780x = 431,748,869,776
  5. Step 5: Solve for x
    x = 431,748,869,776/302,780
  6. Step 6: Final answer
    x = 1,425,949.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.