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Finding the Third Proportional to 42,775,492.50 and 92,369,119.50

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Solution

The third proportional to 42,775,492.50 and 92,369,119.50 is: 199,461,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,775,492.50 : 92,369,119.50 = 92,369,119.50 : x
  2. Step 2: Convert to fraction form
    42,775,492.50/92,369,119.50 = 92,369,119.50/x
  3. Step 3: Cross multiply
    42,775,492.50x = 92,369,119.50 × 92,369,119.50
  4. Step 4: Simplify right side
    42,775,492.50x = 8,532,054,237,205,280
  5. Step 5: Solve for x
    x = 8,532,054,237,205,280/42,775,492.50
  6. Step 6: Final answer
    x = 199,461,274.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.