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Finding the Third Proportional to 46,027,476 and 97,730,946

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Solution

The third proportional to 46,027,476 and 97,730,946 is: 207,513,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,027,476 : 97,730,946 = 97,730,946 : x
  2. Step 2: Convert to fraction form
    46,027,476/97,730,946 = 97,730,946/x
  3. Step 3: Cross multiply
    46,027,476x = 97,730,946 × 97,730,946
  4. Step 4: Simplify right side
    46,027,476x = 9,551,337,806,054,916
  5. Step 5: Solve for x
    x = 9,551,337,806,054,916/46,027,476
  6. Step 6: Final answer
    x = 207,513,829.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.