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Finding the Third Proportional to 215,173,030,174.50 and 470,880,128,306

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Solution

The third proportional to 215,173,030,174.50 and 470,880,128,306 is: 1,030,464,157,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,173,030,174.50 : 470,880,128,306 = 470,880,128,306 : x
  2. Step 2: Convert to fraction form
    215,173,030,174.50/470,880,128,306 = 470,880,128,306/x
  3. Step 3: Cross multiply
    215,173,030,174.50x = 470,880,128,306 × 470,880,128,306
  4. Step 4: Simplify right side
    215,173,030,174.50x = 221,728,095,233,475,023,470,592
  5. Step 5: Solve for x
    x = 221,728,095,233,475,023,470,592/215,173,030,174.50
  6. Step 6: Final answer
    x = 1,030,464,157,397.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.