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Finding the Third Proportional to 630,220.50 and 977,467.50

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Solution

The third proportional to 630,220.50 and 977,467.50 is: 1,516,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,220.50 : 977,467.50 = 977,467.50 : x
  2. Step 2: Convert to fraction form
    630,220.50/977,467.50 = 977,467.50/x
  3. Step 3: Cross multiply
    630,220.50x = 977,467.50 × 977,467.50
  4. Step 4: Simplify right side
    630,220.50x = 955,442,713,556.25
  5. Step 5: Solve for x
    x = 955,442,713,556.25/630,220.50
  6. Step 6: Final answer
    x = 1,516,045.12

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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.