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Finding the Third Proportional to 302,913 and 470,377.50

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Solution

The third proportional to 302,913 and 470,377.50 is: 730,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,913 : 470,377.50 = 470,377.50 : x
  2. Step 2: Convert to fraction form
    302,913/470,377.50 = 470,377.50/x
  3. Step 3: Cross multiply
    302,913x = 470,377.50 × 470,377.50
  4. Step 4: Simplify right side
    302,913x = 221,254,992,506.25
  5. Step 5: Solve for x
    x = 221,254,992,506.25/302,913
  6. Step 6: Final answer
    x = 730,424.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.